72318257433 has 40 divisors (see below), whose sum is σ = 108824972256. Its totient is φ = 47858558400.

The previous prime is 72318257411. The next prime is 72318257441. The reversal of 72318257433 is 33475281327.

It is a happy number.

72318257433 is a `hidden beast` number, since 72 + 3 + 1 + 8 + 2 + 574 + 3 + 3 = 666.

It is not a de Polignac number, because 72318257433 - 2⁸ = 72318257177 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72318258433) 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 39 ways as a sum of consecutive naturals, for example, 12817293 + ... + 12822933.

Almost surely, 2^72318257433 is an apocalyptic number.

It is an amenable number.

72318257433 is a deficient number, since it is larger than the sum of its proper divisors (36506714823).

72318257433 is a wasteful number, since it uses less digits than its factorization.

72318257433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6787 (or 6778 counting only the distinct ones).

The product of its digits is 846720, while the sum is 45.

The spelling of 72318257433 in words is "seventy-two billion, three hundred eighteen million, two hundred fifty-seven thousand, four hundred thirty-three".