72133607 has 16 divisors (see below), whose sum is σ = 90112512. Its totient is φ = 56216160.

The previous prime is 72133603. The next prime is 72133619. The reversal of 72133607 is 70633127.

It is not a de Polignac number, because 72133607 - 2² = 72133603 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 72133607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72133603) 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, 182 + ... + 12012.

It is an arithmetic number, because the mean of its divisors is an integer number (5632032).

Almost surely, 2^72133607 is an apocalyptic number.

72133607 is a deficient number, since it is larger than the sum of its proper divisors (17978905).

72133607 is a wasteful number, since it uses less digits than its factorization.

72133607 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11918.

The product of its (nonzero) digits is 5292, while the sum is 29.

The square root of 72133607 is about 8493.1505932722. The cubic root of 72133607 is about 416.2739331590.

It can be divided in two parts, 7213 and 3607, that multiplied together give a triangular number (26017291 = T₇₂₁₃).

The spelling of 72133607 in words is "seventy-two million, one hundred thirty-three thousand, six hundred seven".