72262836513 has 72 divisors (see below), whose sum is σ = 127370498112. Its totient is φ = 38664847872.

The previous prime is 72262836493. The next prime is 72262836559. The reversal of 72262836513 is 31563826227.

72262836513 is a `hidden beast` number, since 7 + 2 + 2 + 628 + 3 + 6 + 5 + 13 = 666.

It is not a de Polignac number, because 72262836513 - 2⁹ = 72262836001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72262836013) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3576706 + ... + 3596852.

It is an arithmetic number, because the mean of its divisors is an integer number (1769034696).

Almost surely, 2^72262836513 is an apocalyptic number.

It is an amenable number.

72262836513 is a deficient number, since it is larger than the sum of its proper divisors (55107661599).

72262836513 is a wasteful number, since it uses less digits than its factorization.

72262836513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20391 (or 20371 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The spelling of 72262836513 in words is "seventy-two billion, two hundred sixty-two million, eight hundred thirty-six thousand, five hundred thirteen".