72079680816 has 320 divisors, whose sum is σ = 243689402880. Its totient is φ = 20110464000.

The previous prime is 72079680773. The next prime is 72079680823. The reversal of 72079680816 is 61808697027.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 28477471 + ... + 28480001.

It is an arithmetic number, because the mean of its divisors is an integer number (761529384).

Almost surely, 2^72079680816 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 72079680816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121844701440).

72079680816 is an abundant number, since it is smaller than the sum of its proper divisors (171609722064).

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

72079680816 is a wasteful number, since it uses less digits than its factorization.

72079680816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3033 (or 3021 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 72079680816 in words is "seventy-two billion, seventy-nine million, six hundred eighty thousand, eight hundred sixteen".