72173897104 has 45 divisors (see below), whose sum is σ = 142975535457. Its totient is φ = 35294425152.

The previous prime is 72173897071. The next prime is 72173897111. The reversal of 72173897104 is 40179837127.

The square root of 72173897104 is 268652.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4864783504 + 67309113600 = 69748^2 + 259440^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 50505862 + ... + 50507290.

Almost surely, 2^72173897104 is an apocalyptic number.

72173897104 is the 268652-nd square number.

It is an amenable number.

72173897104 is a deficient number, since it is larger than the sum of its proper divisors (70801638353).

72173897104 is an frugal number, since it uses more digits than its factorization.

72173897104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2960 (or 1478 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 49.

Multiplying 72173897104 by its sum of digits (49), we get a square (3536520958096 = 1880564²).

The spelling of 72173897104 in words is "seventy-two billion, one hundred seventy-three million, eight hundred ninety-seven thousand, one hundred four".