72216720968 has 84 divisors (see below), whose sum is σ = 158546246985. Its totient is φ = 30838290336.

The previous prime is 72216720941. The next prime is 72216720977. The reversal of 72216720968 is 86902761227.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 63384104644 + 8832616324 = 251762^2 + 93982^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=190022.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 260710046 + ... + 260710322.

Almost surely, 2^72216720968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72216720968

72216720968 is an abundant number, since it is smaller than the sum of its proper divisors (86329526017).

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

72216720968 is an frugal number, since it uses more digits than its factorization.

72216720968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 50.

Multiplying 72216720968 by its sum of digits (50), we get a square (3610836048400 = 1900220²).

The spelling of 72216720968 in words is "seventy-two billion, two hundred sixteen million, seven hundred twenty thousand, nine hundred sixty-eight".