72957031 has 12 divisors (see below), whose sum is σ = 85120608. Its totient is φ = 62348832.

The previous prime is 72957029. The next prime is 72957061. The reversal of 72957031 is 13075927.

It is not a de Polignac number, because 72957031 - 2¹ = 72957029 is a prime.

It is a super-2 number, since 2×72957031² = 10645456744669922, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72957061) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15955 + ... + 20011.

It is an arithmetic number, because the mean of its divisors is an integer number (7093384).

Almost surely, 2^72957031 is an apocalyptic number.

72957031 is a deficient number, since it is larger than the sum of its proper divisors (12163577).

72957031 is a wasteful number, since it uses less digits than its factorization.

72957031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4438 (or 4431 counting only the distinct ones).

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

The square root of 72957031 is about 8541.4888046523. The cubic root of 72957031 is about 417.8519026187.

The spelling of 72957031 in words is "seventy-two million, nine hundred fifty-seven thousand, thirty-one".