72765261 has 24 divisors (see below), whose sum is σ = 110423040. Its totient is φ = 46084896.

The previous prime is 72765257. The next prime is 72765271. The reversal of 72765261 is 16256727.

It is not a de Polignac number, because 72765261 - 2² = 72765257 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72765211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31380 + ... + 33618.

It is an arithmetic number, because the mean of its divisors is an integer number (4600960).

Almost surely, 2^72765261 is an apocalyptic number.

It is an amenable number.

72765261 is a deficient number, since it is larger than the sum of its proper divisors (37657779).

72765261 is a wasteful number, since it uses less digits than its factorization.

72765261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2425 (or 2422 counting only the distinct ones).

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

The square root of 72765261 is about 8530.2556233679. The cubic root of 72765261 is about 417.4854687952.

The spelling of 72765261 in words is "seventy-two million, seven hundred sixty-five thousand, two hundred sixty-one".