72789904818 has 48 divisors (see below), whose sum is σ = 166513869600. Its totient is φ = 22916805120.

The previous prime is 72789904807. The next prime is 72789904877. The reversal of 72789904818 is 81840998727.

72789904818 is a `hidden beast` number, since 72 + 7 + 89 + 9 + 0 + 481 + 8 = 666.

It is a super-2 number, since 2×72789904818² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 208303 + ... + 434706.

It is an arithmetic number, because the mean of its divisors is an integer number (3469038950).

Almost surely, 2^72789904818 is an apocalyptic number.

72789904818 is an abundant number, since it is smaller than the sum of its proper divisors (93723964782).

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

72789904818 is a wasteful number, since it uses less digits than its factorization.

72789904818 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643367 (or 643364 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 63.

It can be divided in two parts, 7278990481 and 8, that added together give a square (7278990489 = 85317²).

The spelling of 72789904818 in words is "seventy-two billion, seven hundred eighty-nine million, nine hundred four thousand, eight hundred eighteen".