72322372809216 has 480 divisors, whose sum is σ = 214987145321520. Its totient is φ = 23395155443712.

The previous prime is 72322372809187. The next prime is 72322372809251. The reversal of 72322372809216 is 61290827322327.

72322372809216 is a `hidden beast` number, since 7 + 2 + 32 + 237 + 280 + 92 + 16 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 72259520313600 + 62852495616 = 8500560^2 + 250704^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18022019626 + ... + 18022023638.

Almost surely, 2^{72322372809216} 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 72322372809216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107493572660760).

72322372809216 is an abundant number, since it is smaller than the sum of its proper divisors (142664772512304).

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

72322372809216 is a wasteful number, since it uses less digits than its factorization.

72322372809216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4876 (or 4857 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 72322372809216 in words is "seventy-two trillion, three hundred twenty-two billion, three hundred seventy-two million, eight hundred nine thousand, two hundred sixteen".