72762561 has 6 divisors (see below), whose sum is σ = 105101490. Its totient is φ = 48508368.

The previous prime is 72762553. The next prime is 72762563. The reversal of 72762561 is 16526727.

72762561 is a `hidden beast` number, since 7 + 27 + 625 + 6 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 68161536 + 4601025 = 8256^2 + 2145^2 .

It is not a de Polignac number, because 72762561 - 2³ = 72762553 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72762563) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4042356 + ... + 4042373.

It is an arithmetic number, because the mean of its divisors is an integer number (17516915).

Almost surely, 2^72762561 is an apocalyptic number.

It is an amenable number.

72762561 is a deficient number, since it is larger than the sum of its proper divisors (32338929).

72762561 is a wasteful number, since it uses less digits than its factorization.

72762561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8084735 (or 8084732 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 72762561 is about 8530.0973616952. The cubic root of 72762561 is about 417.4803050458.

The spelling of 72762561 in words is "seventy-two million, seven hundred sixty-two thousand, five hundred sixty-one".