72533004164225 has 24 divisors (see below), whose sum is σ = 98117924024160. Its totient is φ = 52750979456000.

The previous prime is 72533004164219. The next prime is 72533004164227. The reversal of 72533004164225 is 52246140033527.

It is not a de Polignac number, because 72533004164225 - 2⁶ = 72533004164161 is a prime.

It is a super-2 number, since 2×72533004164225² (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 23 ways as a sum of consecutive naturals, for example, 56270945 + ... + 57545505.

It is an arithmetic number, because the mean of its divisors is an integer number (4088246834340).

Almost surely, 2^{72533004164225} is an apocalyptic number.

It is an amenable number.

72533004164225 is a deficient number, since it is larger than the sum of its proper divisors (25584919859935).

72533004164225 is a wasteful number, since it uses less digits than its factorization.

72533004164225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1481521 (or 1481516 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 44.

The spelling of 72533004164225 in words is "seventy-two trillion, five hundred thirty-three billion, four million, one hundred sixty-four thousand, two hundred twenty-five".