72116296704 has 176 divisors, whose sum is σ = 214866220800. Its totient is φ = 23893291008.

The previous prime is 72116296687. The next prime is 72116296723. The reversal of 72116296704 is 40769261127.

72116296704 is a `hidden beast` number, since 7 + 2 + 11 + 629 + 6 + 7 + 0 + 4 = 666.

It is a super-2 number, since 2×72116296704² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 72116296704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4609407 + ... + 4625025.

It is an arithmetic number, because the mean of its divisors is an integer number (1220830800).

Almost surely, 2^72116296704 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 72116296704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107433110400).

72116296704 is an abundant number, since it is smaller than the sum of its proper divisors (142749924096).

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

72116296704 is a wasteful number, since it uses less digits than its factorization.

72116296704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15815 (or 15791 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 72116296704 in words is "seventy-two billion, one hundred sixteen million, two hundred ninety-six thousand, seven hundred four".