72900189 has 32 divisors (see below), whose sum is σ = 112250880. Its totient is φ = 46710000.

The previous prime is 72900161. The next prime is 72900193. The reversal of 72900189 is 98100927.

It is a happy number.

It is not a de Polignac number, because 72900189 - 2⁸ = 72899933 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72900119) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 209914 + ... + 210260.

It is an arithmetic number, because the mean of its divisors is an integer number (3507840).

Almost surely, 2^72900189 is an apocalyptic number.

It is an amenable number.

72900189 is a deficient number, since it is larger than the sum of its proper divisors (39350691).

72900189 is a wasteful number, since it uses less digits than its factorization.

72900189 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 72900189 is about 8538.1607504193. The cubic root of 72900189 is about 417.7433560373.

The spelling of 72900189 in words is "seventy-two million, nine hundred thousand, one hundred eighty-nine".