72645525 has 48 divisors (see below), whose sum is σ = 134277120. Its totient is φ = 38505600.

The previous prime is 72645509. The next prime is 72645589. The reversal of 72645525 is 52554627.

72645525 is a `hidden beast` number, since 7 + 2 + 645 + 5 + 2 + 5 = 666.

It is not a de Polignac number, because 72645525 - 2⁴ = 72645509 is a prime.

Its product of digits (84000) is a multiple of the sum of its prime divisors (672).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 72645525.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 189484 + ... + 189866.

It is an arithmetic number, because the mean of its divisors is an integer number (2797440).

Almost surely, 2^72645525 is an apocalyptic number.

72645525 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

72645525 is a deficient number, since it is larger than the sum of its proper divisors (61631595).

72645525 is a wasteful number, since it uses less digits than its factorization.

72645525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 683 (or 672 counting only the distinct ones).

The product of its digits is 84000, while the sum is 36.

The square root of 72645525 is about 8523.2344212746. The cubic root of 72645525 is about 417.2563508383.

The spelling of 72645525 in words is "seventy-two million, six hundred forty-five thousand, five hundred twenty-five".