72202338352800 has 432 divisors, whose sum is σ = 276648975832320. Its totient is φ = 17652183552000.

The previous prime is 72202338352699. The next prime is 72202338352817. The reversal of 72202338352800 is 825383320227.

72202338352800 is a `hidden beast` number, since 7 + 2 + 2 + 0 + 2 + 338 + 35 + 280 + 0 = 666.

72202338352800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×72202338352800² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4272021 + ... + 12753620.

It is an arithmetic number, because the mean of its divisors is an integer number (640391147760).

Almost surely, 2^{72202338352800} is an apocalyptic number.

It is an amenable number.

72202338352800 is an abundant number, since it is smaller than the sum of its proper divisors (204446637479520).

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

72202338352800 is a wasteful number, since it uses less digits than its factorization.

72202338352800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17025717 (or 17025701 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 72202338352800 in words is "seventy-two trillion, two hundred two billion, three hundred thirty-eight million, three hundred fifty-two thousand, eight hundred".