72764137 has 16 divisors (see below), whose sum is σ = 76083840. Its totient is φ = 69552000.

The previous prime is 72764123. The next prime is 72764141. The reversal of 72764137 is 73146727.

It is a cyclic number.

It is not a de Polignac number, because 72764137 - 2¹¹ = 72762089 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 72764096 and 72764105.

It is not an unprimeable number, because it can be changed into a prime (72764837) 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 15 ways as a sum of consecutive naturals, for example, 523414 + ... + 523552.

It is an arithmetic number, because the mean of its divisors is an integer number (4755240).

Almost surely, 2^72764137 is an apocalyptic number.

It is an amenable number.

72764137 is a deficient number, since it is larger than the sum of its proper divisors (3319703).

72764137 is a wasteful number, since it uses less digits than its factorization.

72764137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384.

The product of its digits is 49392, while the sum is 37.

The square root of 72764137 is about 8530.1897399765. The cubic root of 72764137 is about 417.4833191610.

The spelling of 72764137 in words is "seventy-two million, seven hundred sixty-four thousand, one hundred thirty-seven".