72597194900 has 18 divisors (see below), whose sum is σ = 157535913150. Its totient is φ = 29038877920.

The previous prime is 72597194897. The next prime is 72597194903. The reversal of 72597194900 is 949179527.

It is an interprime number because it is at equal distance from previous prime (72597194897) and next prime (72597194903).

It can be written as a sum of positive squares in 3 ways, for example, as 18679684 + 72578515216 = 4322^2 + 269404^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72597194903) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 362985875 + ... + 362986074.

It is an arithmetic number, because the mean of its divisors is an integer number (8751995175).

Almost surely, 2^72597194900 is an apocalyptic number.

It is an amenable number.

72597194900 is an abundant number, since it is smaller than the sum of its proper divisors (84938718250).

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

72597194900 is a wasteful number, since it uses less digits than its factorization.

72597194900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725971963 (or 725971956 counting only the distinct ones).

The product of its (nonzero) digits is 1428840, while the sum is 53.

The spelling of 72597194900 in words is "seventy-two billion, five hundred ninety-seven million, one hundred ninety-four thousand, nine hundred".