72796581 has 72 divisors (see below), whose sum is σ = 131320800. Its totient is φ = 38413440.

The previous prime is 72796573. The next prime is 72796597. The reversal of 72796581 is 18569727.

It is not a de Polignac number, because 72796581 - 2³ = 72796573 is a prime.

It is a super-2 number, since 2×72796581² = 10598684410579122, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72796531) 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 71 ways as a sum of consecutive naturals, for example, 317775 + ... + 318003.

It is an arithmetic number, because the mean of its divisors is an integer number (1823900).

Almost surely, 2^72796581 is an apocalyptic number.

It is an amenable number.

72796581 is a deficient number, since it is larger than the sum of its proper divisors (58524219).

72796581 is a wasteful number, since it uses less digits than its factorization.

72796581 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 275 counting only the distinct ones).

The product of its digits is 211680, while the sum is 45.

The square root of 72796581 is about 8532.0912442378. The cubic root of 72796581 is about 417.5453589548.

The spelling of 72796581 in words is "seventy-two million, seven hundred ninety-six thousand, five hundred eighty-one".