72725600 has 36 divisors (see below), whose sum is σ = 177543324. Its totient is φ = 29089920.

The previous prime is 72725573. The next prime is 72725617. The reversal of 72725600 is 652727.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 44654 + ... + 46253.

It is an arithmetic number, because the mean of its divisors is an integer number (4931759).

Almost surely, 2^72725600 is an apocalyptic number.

It is an amenable number.

72725600 is an abundant number, since it is smaller than the sum of its proper divisors (104817724).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72725600 is a wasteful number, since it uses less digits than its factorization.

72725600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90927 (or 90914 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 29.

The square root of 72725600 is about 8527.9305813310. The cubic root of 72725600 is about 417.4096042953.

The spelling of 72725600 in words is "seventy-two million, seven hundred twenty-five thousand, six hundred".