72192168400 has 60 divisors (see below), whose sum is σ = 189209121984. Its totient is φ = 26251696000.

The previous prime is 72192168359. The next prime is 72192168469. The reversal of 72192168400 is 486129127.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8199256 + ... + 8208055.

Almost surely, 2^72192168400 is an apocalyptic number.

It is an amenable number.

72192168400 is an abundant number, since it is smaller than the sum of its proper divisors (117016953584).

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

72192168400 is a wasteful number, since it uses less digits than its factorization.

72192168400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16407340 (or 16407329 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 40.

It can be divided in two parts, 721921 and 68400, that added together give a square (790321 = 889²).

The spelling of 72192168400 in words is "seventy-two billion, one hundred ninety-two million, one hundred sixty-eight thousand, four hundred".