72533004164224 has 64 divisors (see below), whose sum is σ = 146954615652000. Its totient is φ = 35650328389632.

The previous prime is 72533004164219. The next prime is 72533004164227. The reversal of 72533004164224 is 42246140033527.

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

It is a super-2 number, since 2×72533004164224² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (72533004164227) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 193211647 + ... + 193586689.

Almost surely, 2^{72533004164224} is an apocalyptic number.

It is an amenable number.

72533004164224 is an abundant number, since it is smaller than the sum of its proper divisors (74421611487776).

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

72533004164224 is a wasteful number, since it uses less digits than its factorization.

72533004164224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400725 (or 400713 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 43.

The spelling of 72533004164224 in words is "seventy-two trillion, five hundred thirty-three billion, four million, one hundred sixty-four thousand, two hundred twenty-four".