72765009 has 12 divisors (see below), whose sum is σ = 106828852. Its totient is φ = 47714400.

The previous prime is 72764983. The next prime is 72765019. The reversal of 72765009 is 90056727.

It can be written as a sum of positive squares in 2 ways, for example, as 25979409 + 46785600 = 5097^2 + 6840^2 .

It is not a de Polignac number, because 72765009 - 2¹⁷ = 72633937 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72765019) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65722 + ... + 66819.

Almost surely, 2^72765009 is an apocalyptic number.

It is an amenable number.

72765009 is a deficient number, since it is larger than the sum of its proper divisors (34063843).

72765009 is a wasteful number, since it uses less digits than its factorization.

72765009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132608 (or 132605 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 72765009 is about 8530.2408524027. The cubic root of 72765009 is about 417.4849868506.

The spelling of 72765009 in words is "seventy-two million, seven hundred sixty-five thousand, nine".