72105180992 has 28 divisors (see below), whose sum is σ = 154090160196. Its totient is φ = 33279313920.

The previous prime is 72105180943. The next prime is 72105181009. The reversal of 72105180992 is 29908150127.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 38771185216 + 33333995776 = 196904^2 + 182576^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 43331609 + ... + 43333272.

It is an arithmetic number, because the mean of its divisors is an integer number (5503220007).

Almost surely, 2^72105180992 is an apocalyptic number.

It is an amenable number.

72105180992 is an abundant number, since it is smaller than the sum of its proper divisors (81984979204).

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

72105180992 is a wasteful number, since it uses less digits than its factorization.

72105180992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86664906 (or 86664896 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 44.

The spelling of 72105180992 in words is "seventy-two billion, one hundred five million, one hundred eighty thousand, nine hundred ninety-two".