72385625 has 40 divisors (see below), whose sum is σ = 99718080. Its totient is φ = 52200000.

The previous prime is 72385591. The next prime is 72385627. The reversal of 72385625 is 52658327.

It is not a de Polignac number, because 72385625 - 2²⁴ = 55608409 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (72385627) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 479300 + ... + 479450.

It is an arithmetic number, because the mean of its divisors is an integer number (2492952).

Almost surely, 2^72385625 is an apocalyptic number.

It is an amenable number.

72385625 is a deficient number, since it is larger than the sum of its proper divisors (27332455).

72385625 is a wasteful number, since it uses less digits than its factorization.

72385625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 228 counting only the distinct ones).

The product of its digits is 100800, while the sum is 38.

The square root of 72385625 is about 8507.9742007131. The cubic root of 72385625 is about 416.7581576869.

The spelling of 72385625 in words is "seventy-two million, three hundred eighty-five thousand, six hundred twenty-five".