72938172 has 48 divisors (see below), whose sum is σ = 176117760. Its totient is φ = 23479872.

The previous prime is 72938153. The next prime is 72938179. The reversal of 72938172 is 27183927.

It is a self number, because there is not a number n which added to its sum of digits gives 72938172.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72938179) 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, 43738 + ... + 45374.

It is an arithmetic number, because the mean of its divisors is an integer number (3669120).

Almost surely, 2^72938172 is an apocalyptic number.

It is an amenable number.

72938172 is an abundant number, since it is smaller than the sum of its proper divisors (103179588).

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

72938172 is a wasteful number, since it uses less digits than its factorization.

72938172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1770 (or 1768 counting only the distinct ones).

The product of its digits is 42336, while the sum is 39.

The square root of 72938172 is about 8540.3847688497. The cubic root of 72938172 is about 417.8158953598.

The spelling of 72938172 in words is "seventy-two million, nine hundred thirty-eight thousand, one hundred seventy-two".