72963138125 has 20 divisors (see below), whose sum is σ = 91257235212. Its totient is φ = 58317696000.

The previous prime is 72963138113. The next prime is 72963138223. The reversal of 72963138125 is 52183136927.

It can be written as a sum of positive squares in 10 ways, for example, as 72950768836 + 12369289 = 270094^2 + 3517^2 .

It is not a de Polignac number, because 72963138125 - 2²⁸ = 72694702669 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 72963138125.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 645869 + ... + 750381.

Almost surely, 2^72963138125 is an apocalyptic number.

It is an amenable number.

72963138125 is a deficient number, since it is larger than the sum of its proper divisors (18294097087).

72963138125 is a wasteful number, since it uses less digits than its factorization.

72963138125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105650 (or 105635 counting only the distinct ones).

The product of its digits is 544320, while the sum is 47.

The spelling of 72963138125 in words is "seventy-two billion, nine hundred sixty-three million, one hundred thirty-eight thousand, one hundred twenty-five".