72133872 has 40 divisors (see below), whose sum is σ = 189511680. Its totient is φ = 23636160.

The previous prime is 72133843. The next prime is 72133879. The reversal of 72133872 is 27833127.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72133879) 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, 9904 + ... + 15567.

It is an arithmetic number, because the mean of its divisors is an integer number (4737792).

Almost surely, 2^72133872 is an apocalyptic number.

It is an amenable number.

72133872 is an abundant number, since it is smaller than the sum of its proper divisors (117377808).

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

72133872 is a wasteful number, since it uses less digits than its factorization.

72133872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25541 (or 25535 counting only the distinct ones).

The product of its digits is 14112, while the sum is 33.

The square root of 72133872 is about 8493.1661940645. The cubic root of 72133872 is about 416.2744429189.

Adding to 72133872 its reverse (27833127), we get a palindrome (99966999).

The spelling of 72133872 in words is "seventy-two million, one hundred thirty-three thousand, eight hundred seventy-two".