72931625 has 32 divisors (see below), whose sum is σ = 100752288. Its totient is φ = 52358400.

The previous prime is 72931619. The next prime is 72931637. The reversal of 72931625 is 52613927.

It can be written as a sum of positive squares in 16 ways, for example, as 65983129 + 6948496 = 8123^2 + 2636^2 .

It is not a de Polignac number, because 72931625 - 2⁴ = 72931609 is a prime.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59519 + ... + 60731.

It is an arithmetic number, because the mean of its divisors is an integer number (3148509).

Almost surely, 2^72931625 is an apocalyptic number.

It is an amenable number.

72931625 is a deficient number, since it is larger than the sum of its proper divisors (27820663).

72931625 is a wasteful number, since it uses less digits than its factorization.

72931625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1278 (or 1268 counting only the distinct ones).

The product of its digits is 22680, while the sum is 35.

The square root of 72931625 is about 8540.0014637001. The cubic root of 72931625 is about 417.8033938011.

It can be divided in two parts, 729316 and 25, that multiplied together give a square (18232900 = 4270²).

The spelling of 72931625 in words is "seventy-two million, nine hundred thirty-one thousand, six hundred twenty-five".