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Lynch-Bell numbers
A number  $n$  is a Lynch-Bell number if its digits are all distinct and  $n$  is divisible by each digit.

There are exactly 548 such numbers, the largest being 9867312.

The first Lynch-Bell numbers greater than 9 are 12, 15, 24, 36, 48, 124, 126, 128, 132, 135, 162, 168, 175, 184, 216, 248, 264, 312, 315, 324, 384, 396, 412, 432, 612, 624, 648, 672, 728, 735, 784, 816, 824, 864 more terms

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

A graph displaying how many Lynch-Bell numbers are multiples of the primes p from 2 to 71. In black the ideal line 1/p.
divisibility of Lynch-Bell numbers
Useful links OEIS, Sequence A115569
Lynch-Bell numbers can also be... (you may click on names or numbers and on + to get more values)

ABA 24 128 162 + 18432 9176328 aban 12 15 24 + 864 936 abundant 12 24 36 + 9812376 9867312 Achilles 432 648 864 + 314928 9176328 admirable 12 24 672 + 3126 4172 alternating 12 36 216 + 941832 981432 amenable 12 24 36 + 9812376 9867312 apocalyptic 312 384 612 + 28416 29736 arithmetic 15 126 132 + 9812376 9867312 astonishing 15 216 Bell 15 betrothed 48 binomial 15 36 126 + 41328 416328 brilliant 15 cake 15 12384 Catalan 132 compositorial 24 congruent 15 24 124 + 9782136 9812376 constructible 12 15 24 + 1632 3264 cube 216 13824 Cunningham 15 24 48 + 214368 1923768 Curzon 1926 9126 37926 cyclic 15 D-number 15 315 1935 d-powerful 24 132 135 + 976248 2189376 decagonal 126 175 deficient 15 124 128 + 3915 9315 dig.balanced 12 15 135 + 9237816 9812376 double fact. 15 48 384 droll 672 Duffinian 36 128 175 + 9216 1382976 eban 36 economical 15 128 135 + 1382976 1687392 emirpimes 15 equidigital 15 135 162 + 384912 1687392 eRAP 24 esthetic 12 432 evil 12 15 24 + 9812376 9867312 factorial 24 Friedman 126 128 216 + 789264 912384 frugal 128 13824 314928 1382976 gapful 132 135 264 + 9617328 9723168 happy 784 4172 4872 + 861432 864312 harmonic 672 Harshad 12 24 36 + 9812376 9867312 heptagonal 281736 hexagonal 15 1326 41328 highly composite 12 24 36 48 hoax 735 1824 18624 + 943128 2937816 iban 12 24 124 + 412 4172 iccanobiF 124 idoneal 12 15 24 + 168 312 impolite 128 inconsummate 216 432 612 + 981432 984312 interprime 12 15 312 + 8912736 9617832 Jordan-Polya 12 24 36 + 13824 18432 junction 216 315 412 + 9176328 9617328 katadrome 432 864 6432 9432 9864 Lehmer 15 lucky 15 135 735 + 9135 9315 magic 15 175 magnanimous 12 metadrome 12 15 24 + 1248 1368 modest 412 824 1236 + 48216 312648 Moran 1236 1926 1962 + 842136 864312 nialpdrome 432 864 6432 9432 9864 nonagonal 24 396 nude 12 15 24 + 9812376 9867312 O'Halloran 12 36 oban 12 15 36 + 816 936 octagonal 936 3816 427896 odious 124 128 162 + 9781632 9782136 panconsummate 12 15 24 36 pandigital 15 135 216 3817296 partition 15 135 2436 pentagonal 12 1926 pernicious 12 24 36 + 9781632 9782136 Perrin 12 plaindrome 12 15 24 + 1248 1368 power 36 128 216 + 13824 1382976 powerful 36 128 216 + 1382976 9176328 practical 12 24 36 + 9782136 9867312 prim.abundant 12 1362 3126 4172 9135 pronic 12 132 46872 613872 pseudoperfect 12 24 36 + 981432 984312 repunit 15 Ruth-Aaron 15 24 126 self 132 312 648 + 9782136 9812376 semiprime 15 Smith 648 728 1935 + 8617392 9867312 sphenic 1362 3126 square 36 324 784 + 9216 1382976 straight-line 135 432 864 super Niven 12 24 36 48 super-d 784 1764 1926 + 8176392 9867312 superabundant 12 24 36 48 tau 12 24 36 + 8973216 9781632 tetrahedral 816 3276 tetranacci 15 triangular 15 36 1326 + 41328 416328 tribonacci 24 trimorphic 24 624 uban 12 15 36 48 Ulam 36 48 126 + 7916832 9283176 unprimeable 324 624 1764 + 9723168 9867312 untouchable 124 162 216 + 978264 984312 upside-down 243768 623784 836472 vampire 1395 384912 wasteful 12 24 36 + 9812376 9867312 Zuckerman 12 15 24 + 912384 1687392 Zumkeller 12 24 48 + 92736 98136