72225210529920 has 512 divisors, whose sum is σ = 264839251622400. Its totient is φ = 16400068116480.

The previous prime is 72225210529919. The next prime is 72225210529949. The reversal of 72225210529920 is 2992501252227.

72225210529920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 72225210529920.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2376674086 + ... + 2376704474.

It is an arithmetic number, because the mean of its divisors is an integer number (517264163325).

Almost surely, 2^{72225210529920} is an apocalyptic number.

72225210529920 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72225210529920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132419625811200).

72225210529920 is an abundant number, since it is smaller than the sum of its proper divisors (192614041092480).

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

72225210529920 is a wasteful number, since it uses less digits than its factorization.

72225210529920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31576 (or 31564 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 48.

The spelling of 72225210529920 in words is "seventy-two trillion, two hundred twenty-five billion, two hundred ten million, five hundred twenty-nine thousand, nine hundred twenty".