72057931 has 8 divisors (see below), whose sum is σ = 78678000. Its totient is φ = 65449440.

The previous prime is 72057929. The next prime is 72057941. The reversal of 72057931 is 13975027.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 72057931 - 2¹ = 72057929 is a prime.

It is a super-2 number, since 2×72057931² = 10384690840001522, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72057941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14925 + ... + 19153.

It is an arithmetic number, because the mean of its divisors is an integer number (9834750).

Almost surely, 2^72057931 is an apocalyptic number.

72057931 is a deficient number, since it is larger than the sum of its proper divisors (6620069).

72057931 is a wasteful number, since it uses less digits than its factorization.

72057931 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5789.

The product of its (nonzero) digits is 13230, while the sum is 34.

The square root of 72057931 is about 8488.6943047797. The cubic root of 72057931 is about 416.1283100104.

The spelling of 72057931 in words is "seventy-two million, fifty-seven thousand, nine hundred thirty-one".