72592731 has 12 divisors (see below), whose sum is σ = 108239040. Its totient is φ = 46833840.

The previous prime is 72592721. The next prime is 72592739. The reversal of 72592731 is 13729527.

It is not a de Polignac number, because 72592731 - 2⁵ = 72592699 is a prime.

It is a super-2 number, since 2×72592731² = 10539409188076722, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (72592739) 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, 129816 + ... + 130373.

It is an arithmetic number, because the mean of its divisors is an integer number (9019920).

Almost surely, 2^72592731 is an apocalyptic number.

72592731 is a deficient number, since it is larger than the sum of its proper divisors (35646309).

72592731 is a wasteful number, since it uses less digits than its factorization.

72592731 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260226 (or 260223 counting only the distinct ones).

The product of its digits is 26460, while the sum is 36.

The square root of 72592731 is about 8520.1367946765. The cubic root of 72592731 is about 417.1552481653.

The spelling of 72592731 in words is "seventy-two million, five hundred ninety-two thousand, seven hundred thirty-one".