72666624400 has 60 divisors (see below), whose sum is σ = 174636594864. Its totient is φ = 29057488000.

The previous prime is 72666624313. The next prime is 72666624409. The reversal of 72666624400 is 442666627.

It is not an unprimeable number, because it can be changed into a prime (72666624409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1321455 + ... + 1375345.

Almost surely, 2^72666624400 is an apocalyptic number.

It is an amenable number.

72666624400 is an abundant number, since it is smaller than the sum of its proper divisors (101969970464).

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

72666624400 is a wasteful number, since it uses less digits than its factorization.

72666624400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57280 (or 57269 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 43.

The spelling of 72666624400 in words is "seventy-two billion, six hundred sixty-six million, six hundred twenty-four thousand, four hundred".