72769509 has 28 divisors (see below), whose sum is σ = 109925196. Its totient is φ = 48148992.

The previous prime is 72769483. The next prime is 72769531. The reversal of 72769509 is 90596727.

72769509 is a `hidden beast` number, since 72 + 76 + 9 + 509 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 70056900 + 2712609 = 8370^2 + 1647^2 .

It is a de Polignac number, because none of the positive numbers 2^k-72769509 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72769589) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 125829 + ... + 126405.

Almost surely, 2^72769509 is an apocalyptic number.

It is an amenable number.

72769509 is a deficient number, since it is larger than the sum of its proper divisors (37155687).

72769509 is an equidigital number, since it uses as much as digits as its factorization.

72769509 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 768 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The square root of 72769509 is about 8530.5046157892. The cubic root of 72769509 is about 417.4935928356.

The spelling of 72769509 in words is "seventy-two million, seven hundred sixty-nine thousand, five hundred nine".