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Zuckerman numbers
J.J.Tattersall defined Zuckerman numbers as those  $n$  which are divisible by the product of their digits.

Zuckerman numbers are a subset of nude numbers.

The smallest Zuckerman number which contains the maximal (8) number of distinct digits is 1196342784.

The first Zuckerman numbers are 1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 12, 15, 24, 36, 111, 112, 115, 128, 132, 135, 144, 175, 212, 216, 224, 312, 315 more terms

Pictorial representation of remainders (mod 2, 3, ...,11) frequency. For a table of values and more details click here
remainders of Zuckerman numbers

A graph displaying how many Zuckerman numbers are multiples of the primes p from 2 to 71. In black the ideal line 1/p.
divisibility of Zuckerman numbers
Useful links OEIS, Sequence A007602
Zuckerman numbers can also be... (you may click on names or numbers and on + to get more values)

a-pointer 11 ABA 24 128 384 + 9916826112 aban 11 12 15 + 816 abundant 12 24 36 + 49787136 Achilles 432 6912 14112 + 9916826112 admirable 12 24 224 672 alternating 12 36 212 + 832761216 amenable 12 24 36 + 997711344 amicable 1184 apocalyptic 224 312 384 + 28416 arithmetic 11 15 111 + 9618912 astonishing 15 216 7119 Bell 15 betrothed 1575 binomial 15 36 816 + 911111328 brilliant 15 c.decagonal 11 c.triangular 22144 cake 15 Catalan 132 Chen 11 compositorial 24 congruent 15 24 111 + 9813312 constructible 12 15 24 + 2228224 cube 216 13824 4741632 Cunningham 15 24 224 + 1212223488 Curzon 13113 119313 173313 + 197111313 cyclic 11 15 115 + 1111117 D-number 15 111 315 13113 d-powerful 24 132 135 + 6422976 de Polignac 1111117 11111111 decagonal 175 2232 1182112 + 7221312 deceptive 11111 1111111 1111111111 deficient 11 15 111 + 9939915 dig.balanced 11 12 15 + 198731232 double fact. 15 384 droll 672 4224 487424 + 4214784 Duffinian 36 111 115 + 7111111 eban 36 economical 11 15 111 + 19922112 emirpimes 15 115 1115 enlightened 23328 equidigital 11 15 111 + 19919196 eRAP 24 esthetic 12 212 432 + 3232343232 Eulerian 11 evil 12 15 24 + 997411968 factorial 24 Fibonacci 144 Friedman 128 216 1296 + 941184 frugal 128 1715 11664 + 997411968 gapful 132 135 315 + 9921911616 good prime 11 happy 1112 1115 1184 + 9173115 harmonic 672 2716826112 Harshad 12 24 36 + 9991111212 heptagonal 112 116316 24191136 212322816 hexagonal 15 382192128 911111328 highly composite 12 24 36 hoax 735 1111 1116 + 93112416 Hogben 111 hungry 144 iban 11 12 24 + 742112 idoneal 12 15 24 + 312 impolite 128 inconsummate 216 432 612 + 973728 insolite 111 11112 1122112 + 1211162112 interprime 12 15 111 + 97223112 Jacobsthal 11 Jordan-Polya 12 24 36 + 429981696 junction 111 115 212 + 98224128 Kaprekar 11111112 1111111111 katadrome 432 Lehmer 15 1111 Leyland 93312 lonely 1344 Lucas 11 lucky 15 111 115 + 7133175 Lynch-Bell 12 15 24 + 1687392 magic 15 111 175 magnanimous 11 12 112 + 111112 metadrome 12 15 24 + 135 modest 111 1111 3111 + 1911111111 Moran 111 11133 11331 + 13111212 nialpdrome 11 111 432 + 9111111111 nonagonal 24 111 nude 11 12 15 + 498161664 O'Halloran 12 36 oban 11 12 15 + 816 odious 11 112 115 + 997711344 palindromic 11 111 212 + 2321111232 palprime 11 pancake 11 222112 panconsummate 11 12 15 + 144 pandigital 11 15 135 + 13226976 partition 11 15 135 1575 pentagonal 12 1119312 1322112 pernicious 11 12 24 + 9813312 Perrin 12 plaindrome 11 12 15 + 1111144448 power 36 128 144 + 6318342144 powerful 36 128 144 + 9916826112 practical 12 24 36 + 9813312 prim.abundant 12 1184 1575 + 1414144 prime 11 pronic 12 132 1332 + 123132312 pseudoperfect 12 24 36 + 973728 repdigit 11 111 1111 + 1111111111 repunit 15 111 1111 + 1111111111 Ruth-Aaron 15 24 21184 + 234192384 self 132 312 1111 + 997711344 self-describing 14333112 31143312 semiprime 15 111 115 + 1111117 sliding 11 Smith 1111 3168 7119 + 79817472 Sophie Germain 11 sphenic 1113 1131 1311 + 11171111 square 36 144 1296 + 6318342144 straight-line 111 135 432 + 1111111111 strobogrammatic 11 111 1111 + 1111111111 strong prime 11 super Niven 12 24 36 super-d 1131 2232 7119 + 9414144 superabundant 12 24 36 tau 12 24 36 + 996292224 taxicab 32832 8491392 11261376 + 135111375 tetrahedral 816 3276 tetranacci 15 triangular 15 36 1176 + 911111328 tribonacci 24 trimorphic 24 624 twin 11 uban 11 12 15 36 Ulam 11 36 175 + 9123192 undulating 212 1212 13131 unprimeable 624 1332 1344 + 9618912 untouchable 216 612 624 + 972216 vampire 186624 11632896 1411323264 + 4139413632 wasteful 12 24 36 + 9716112 Zumkeller 12 24 112 + 93744 zygodrome 11 111 1111 + 3311331111