72766525 has 24 divisors (see below), whose sum is σ = 97787144. Its totient is φ = 53395200.

The previous prime is 72766501. The next prime is 72766537. The reversal of 72766525 is 52566727.

It can be written as a sum of positive squares in 12 ways, for example, as 47183161 + 25583364 = 6869^2 + 5058^2 .

It is not a de Polignac number, because 72766525 - 2⁵ = 72766493 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58207 + ... + 59443.

Almost surely, 2^72766525 is an apocalyptic number.

It is an amenable number.

72766525 is a deficient number, since it is larger than the sum of its proper divisors (25020619).

72766525 is a wasteful number, since it uses less digits than its factorization.

72766525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1441 (or 1436 counting only the distinct ones).

The product of its digits is 176400, while the sum is 40.

The square root of 72766525 is about 8530.3297122679. The cubic root of 72766525 is about 417.4878861510.

The spelling of 72766525 in words is "seventy-two million, seven hundred sixty-six thousand, five hundred twenty-five".