72173620400164 has 12 divisors (see below), whose sum is σ = 126303895278988. Its totient is φ = 36086793177600.

The previous prime is 72173620400153. The next prime is 72173620400173. The reversal of 72173620400164 is 46100402637127.

72173620400164 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 48091340083264 + 24082280316900 = 6934792^2 + 4907370^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 72173620400164.

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, 13730704 + ... + 18244984.

Almost surely, 2^{72173620400164} is an apocalyptic number.

It is an amenable number.

72173620400164 is a deficient number, since it is larger than the sum of its proper divisors (54130274878824).

72173620400164 is a wasteful number, since it uses less digits than its factorization.

72173620400164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8511246 (or 8511244 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 43.

The spelling of 72173620400164 in words is "seventy-two trillion, one hundred seventy-three billion, six hundred twenty million, four hundred thousand, one hundred sixty-four".