72306073032625 has 16 divisors (see below), whose sum is σ = 90238535384400. Its totient is φ = 57844501862400.

The previous prime is 72306073032619. The next prime is 72306073032653. The reversal of 72306073032625 is 52623037060327.

It can be written as a sum of positive squares in 8 ways, for example, as 19480606451856 + 52825466580769 = 4413684^2 + 7268113^2 .

It is not a de Polignac number, because 72306073032625 - 2²⁵ = 72306039478193 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19598491 + ... + 22993759.

It is an arithmetic number, because the mean of its divisors is an integer number (5639908461525).

Almost surely, 2^{72306073032625} is an apocalyptic number.

It is an amenable number.

72306073032625 is a deficient number, since it is larger than the sum of its proper divisors (17932462351775).

72306073032625 is a wasteful number, since it uses less digits than its factorization.

72306073032625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3565653 (or 3565643 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 46.

The spelling of 72306073032625 in words is "seventy-two trillion, three hundred six billion, seventy-three million, thirty-two thousand, six hundred twenty-five".