72233824581504 has 64 divisors (see below), whose sum is σ = 213190107282000. Its totient is φ = 24077941526016.

The previous prime is 72233824581491. The next prime is 72233824581517. The reversal of 72233824581504 is 40518542833227.

72233824581504 is a `hidden beast` number, since 7 + 2 + 2 + 3 + 3 + 8 + 2 + 4 + 581 + 50 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (72233824581491) and next prime (72233824581517).

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10450491999 + ... + 10450498910.

Almost surely, 2^{72233824581504} is an apocalyptic number.

It is an amenable number.

72233824581504 is an abundant number, since it is smaller than the sum of its proper divisors (140956282700496).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72233824581504 is a wasteful number, since it uses less digits than its factorization.

72233824581504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20900990932 (or 20900990914 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 54.

The spelling of 72233824581504 in words is "seventy-two trillion, two hundred thirty-three billion, eight hundred twenty-four million, five hundred eighty-one thousand, five hundred four".