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72157020 = 223513791171
BaseRepresentation
bin1000100110100…
…00011101011100
312000202221211020
410103100131130
5121433011040
611054324140
71534216215
oct423203534
9160687736
1072157020
1137804701
12201b9650
1311c45580
14982440c
156504cd0
hex44d075c

72157020 has 96 divisors (see below), whose sum is σ = 220523520. Its totient is φ = 17521920.

The previous prime is 72157013. The next prime is 72157031. The reversal of 72157020 is 2075127.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61035 + ... + 62205.

It is an arithmetic number, because the mean of its divisors is an integer number (2297120).

Almost surely, 272157020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72157020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110261760).

72157020 is an abundant number, since it is smaller than the sum of its proper divisors (148366500).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72157020 is a wasteful number, since it uses less digits than its factorization.

72157020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1275 (or 1273 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 24.

The square root of 72157020 is about 8494.5288274277. The cubic root of 72157020 is about 416.3189661089.

The spelling of 72157020 in words is "seventy-two million, one hundred fifty-seven thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 79 130 156 158 195 237 260 316 390 395 474 780 790 948 1027 1171 1185 1580 2054 2342 2370 3081 3513 4108 4684 4740 5135 5855 6162 7026 10270 11710 12324 14052 15223 15405 17565 20540 23420 30446 30810 35130 45669 60892 61620 70260 76115 91338 92509 152230 182676 185018 228345 277527 304460 370036 456690 462545 555054 913380 925090 1110108 1202617 1387635 1850180 2405234 2775270 3607851 4810468 5550540 6013085 7215702 12026170 14431404 18039255 24052340 36078510 72157020