73172314400 has 36 divisors (see below), whose sum is σ = 178631914482. Its totient is φ = 29268925440.

The previous prime is 73172314387. The next prime is 73172314441. The reversal of 73172314400 is 441327137.

It can be written as a sum of positive squares in 3 ways, for example, as 68332051216 + 4840263184 = 261404^2 + 69572^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 45731897 + ... + 45733496.

Almost surely, 2^73172314400 is an apocalyptic number.

It is an amenable number.

73172314400 is an abundant number, since it is smaller than the sum of its proper divisors (105459600082).

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

73172314400 is a wasteful number, since it uses less digits than its factorization.

73172314400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91465413 (or 91465400 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 32.

The spelling of 73172314400 in words is "seventy-three billion, one hundred seventy-two million, three hundred fourteen thousand, four hundred".