72715600 has 30 divisors (see below), whose sum is σ = 174700190. Its totient is φ = 29086080.

The previous prime is 72715597. The next prime is 72715607. The reversal of 72715600 is 651727.

It can be written as a sum of positive squares in 3 ways, for example, as 9290304 + 63425296 = 3048^2 + 7964^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72715607) by changing a digit.

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, 90495 + ... + 91294.

Almost surely, 2^72715600 is an apocalyptic number.

It is an amenable number.

72715600 is an abundant number, since it is smaller than the sum of its proper divisors (101984590).

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

72715600 is a wasteful number, since it uses less digits than its factorization.

72715600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181807 (or 181796 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 28.

The square root of 72715600 is about 8527.3442524622. The cubic root of 72715600 is about 417.3904717048.

The spelling of 72715600 in words is "seventy-two million, seven hundred fifteen thousand, six hundred".