72253977601 has 81 divisors (see below), whose sum is σ = 87527318697. Its totient is φ = 59609309760.

The previous prime is 72253977571. The next prime is 72253977619. The reversal of 72253977601 is 10677935227.

The square root of 72253977601 is 268801.

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

It can be written as a sum of positive squares in 4 ways, for example, as 9265025025 + 62988952576 = 96255^2 + 250976^2 .

It is not a de Polignac number, because 72253977601 - 2²⁵ = 72220423169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72253977101) by changing a digit.

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 80 ways as a sum of consecutive naturals, for example, 2330773456 + ... + 2330773486.

Almost surely, 2^72253977601 is an apocalyptic number.

72253977601 is the 268801-st square number.

72253977601 is the 134401-st centered octagonal number.

It is an amenable number.

72253977601 is a deficient number, since it is larger than the sum of its proper divisors (15273341096).

72253977601 is a wasteful number, since it uses less digits than its factorization.

72253977601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 1111320, while the sum is 49.

Multiplying 72253977601 by its sum of digits (49), we get a square (3540444902449 = 1881607²).

The spelling of 72253977601 in words is "seventy-two billion, two hundred fifty-three million, nine hundred seventy-seven thousand, six hundred one".