72675625 has 45 divisors (see below), whose sum is σ = 103145889. Its totient is φ = 51150000.

The previous prime is 72675593. The next prime is 72675649. The reversal of 72675625 is 52657627.

The square root of 72675625 is 8525.

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

It can be written as a sum of positive squares in 2 ways, for example, as 5697769 + 66977856 = 2387^2 + 8184^2 .

It is not a de Polignac number, because 72675625 - 2⁵ = 72675593 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2344360 + ... + 2344390.

Almost surely, 2^72675625 is an apocalyptic number.

72675625 is the 8525-th square number.

72675625 is the 4263-rd centered octagonal number.

It is an amenable number.

72675625 is a deficient number, since it is larger than the sum of its proper divisors (30470264).

72675625 is an equidigital number, since it uses as much as digits as its factorization.

72675625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 47 counting only the distinct ones).

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

The cubic root of 72675625 is about 417.3139716481.

Multiplying 72675625 by its product of digits (176400), we get a square (12819980250000 = 3580500²).

The spelling of 72675625 in words is "seventy-two million, six hundred seventy-five thousand, six hundred twenty-five".