72779165316 has 288 divisors, whose sum is σ = 223305578496. Its totient is φ = 19688832000.

The previous prime is 72779165311. The next prime is 72779165317. The reversal of 72779165316 is 61356197727.

72779165316 is a `hidden beast` number, since 7 + 27 + 79 + 16 + 531 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (72779165311) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34475101 + ... + 34477211.

It is an arithmetic number, because the mean of its divisors is an integer number (775366592).

Almost surely, 2^72779165316 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 72779165316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111652789248).

72779165316 is an abundant number, since it is smaller than the sum of its proper divisors (150526413180).

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

72779165316 is a wasteful number, since it uses less digits than its factorization.

72779165316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2363 (or 2358 counting only the distinct ones).

The product of its digits is 3333960, while the sum is 54.

The spelling of 72779165316 in words is "seventy-two billion, seven hundred seventy-nine million, one hundred sixty-five thousand, three hundred sixteen".