72654507025 has 81 divisors (see below), whose sum is σ = 97754464017. Its totient is φ = 53563982400.

The previous prime is 72654507017. The next prime is 72654507043. The reversal of 72654507025 is 52070545627.

The square root of 72654507025 is 269545.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 6897136401 + 65757370624 = 83049^2 + 256432^2 .

It is not a de Polignac number, because 72654507025 - 2³ = 72654507017 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1545840552 + ... + 1545840598.

Almost surely, 2^72654507025 is an apocalyptic number.

72654507025 is the 269545-th square number.

72654507025 is the 134773-rd centered octagonal number.

It is an amenable number.

72654507025 is a deficient number, since it is larger than the sum of its proper divisors (25099956992).

72654507025 is an equidigital number, since it uses as much as digits as its factorization.

72654507025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 588000, while the sum is 43.

The spelling of 72654507025 in words is "seventy-two billion, six hundred fifty-four million, five hundred seven thousand, twenty-five".