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72051681 = 31310091831
BaseRepresentation
bin1000100101101…
…10101111100001
312000120121022210
410102312233201
5121421123211
611052152333
71533300132
oct422665741
9160517283
1072051681
1137742549
12201686a9
1311c09640
1497d7c89
1564d39a6
hex44b6be1

72051681 has 16 divisors (see below), whose sum is σ = 103617920. Its totient is φ = 44271360.

The previous prime is 72051671. The next prime is 72051737. The reversal of 72051681 is 18615027.

It is not a de Polignac number, because 72051681 - 29 = 72051169 is a prime.

It is a super-2 number, since 2×720516812 = 10382889469851522, which contains 22 as substring.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72051601) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38436 + ... + 40266.

It is an arithmetic number, because the mean of its divisors is an integer number (6476120).

Almost surely, 272051681 is an apocalyptic number.

It is an amenable number.

72051681 is a deficient number, since it is larger than the sum of its proper divisors (31566239).

72051681 is a wasteful number, since it uses less digits than its factorization.

72051681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2856.

The product of its (nonzero) digits is 3360, while the sum is 30.

The square root of 72051681 is about 8488.3261600860. The cubic root of 72051681 is about 416.1162785930.

The spelling of 72051681 in words is "seventy-two million, fifty-one thousand, six hundred eighty-one".

Divisors: 1 3 13 39 1009 1831 3027 5493 13117 23803 39351 71409 1847479 5542437 24017227 72051681