72957831 has 8 divisors (see below), whose sum is σ = 97407984. Its totient is φ = 48573120.

The previous prime is 72957809. The next prime is 72957869. The reversal of 72957831 is 13875927.

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

It is not a de Polignac number, because 72957831 - 2⁶ = 72957767 is a prime.

It is a super-2 number, since 2×72957831² = 10645690208449122, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72957431) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13696 + ... + 18261.

It is an arithmetic number, because the mean of its divisors is an integer number (12175998).

Almost surely, 2^72957831 is an apocalyptic number.

72957831 is the 4566-th nonagonal number.

72957831 is a deficient number, since it is larger than the sum of its proper divisors (24450153).

72957831 is a wasteful number, since it uses less digits than its factorization.

72957831 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32721.

The product of its digits is 105840, while the sum is 42.

The square root of 72957831 is about 8541.5356347673. The cubic root of 72957831 is about 417.8534299118.

The spelling of 72957831 in words is "seventy-two million, nine hundred fifty-seven thousand, eight hundred thirty-one".