72133185 has 16 divisors (see below), whose sum is σ = 116297280. Its totient is φ = 38176320.

The previous prime is 72133183. The next prime is 72133189. The reversal of 72133185 is 58133127.

It is not a de Polignac number, because 72133185 - 2¹ = 72133183 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72133183) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16390 + ... + 20319.

It is an arithmetic number, because the mean of its divisors is an integer number (7268580).

Almost surely, 2^72133185 is an apocalyptic number.

It is an amenable number.

72133185 is a deficient number, since it is larger than the sum of its proper divisors (44164095).

72133185 is a wasteful number, since it uses less digits than its factorization.

72133185 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36848.

The product of its digits is 5040, while the sum is 30.

The square root of 72133185 is about 8493.1257496872. The cubic root of 72133185 is about 416.2731213879.

The spelling of 72133185 in words is "seventy-two million, one hundred thirty-three thousand, one hundred eighty-five".