72789405200 has 60 divisors (see below), whose sum is σ = 174951222420. Its totient is φ = 29103329280.

The previous prime is 72789405187. The next prime is 72789405233. The reversal of 72789405200 is 250498727.

It can be written as a sum of positive squares in 6 ways, for example, as 228130816 + 72561274384 = 15104^2 + 269372^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 929156 + ... + 1004444.

It is an arithmetic number, because the mean of its divisors is an integer number (2915853707).

Almost surely, 2^72789405200 is an apocalyptic number.

It is an amenable number.

72789405200 is an abundant number, since it is smaller than the sum of its proper divisors (102161817220).

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

72789405200 is a wasteful number, since it uses less digits than its factorization.

72789405200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77724 (or 77713 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 44.

The spelling of 72789405200 in words is "seventy-two billion, seven hundred eighty-nine million, four hundred five thousand, two hundred".