72813525 has 12 divisors (see below), whose sum is σ = 120385152. Its totient is φ = 38833840.

The previous prime is 72813509. The next prime is 72813541. The reversal of 72813525 is 52531827.

It is an interprime number because it is at equal distance from previous prime (72813509) and next prime (72813541).

It is not a de Polignac number, because 72813525 - 2⁴ = 72813509 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 485349 + ... + 485498.

It is an arithmetic number, because the mean of its divisors is an integer number (10032096).

Almost surely, 2^72813525 is an apocalyptic number.

72813525 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

72813525 is a deficient number, since it is larger than the sum of its proper divisors (47571627).

72813525 is a wasteful number, since it uses less digits than its factorization.

72813525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 970860 (or 970855 counting only the distinct ones).

The product of its digits is 16800, while the sum is 33.

The square root of 72813525 is about 8533.0841434970. The cubic root of 72813525 is about 417.5777521416.

The spelling of 72813525 in words is "seventy-two million, eight hundred thirteen thousand, five hundred twenty-five".