72717192 has 48 divisors (see below), whose sum is σ = 197334540. Its totient is φ = 24190848.

The previous prime is 72717179. The next prime is 72717193. The reversal of 72717192 is 29171727.

It can be written as a sum of positive squares in 2 ways, for example, as 70660836 + 2056356 = 8406^2 + 1434^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (72717193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 71278 + ... + 72290.

Almost surely, 2^72717192 is an apocalyptic number.

72717192 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

72717192 is an abundant number, since it is smaller than the sum of its proper divisors (124617348).

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

72717192 is a wasteful number, since it uses less digits than its factorization.

72717192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2022 (or 2015 counting only the distinct ones).

The product of its digits is 12348, while the sum is 36.

The square root of 72717192 is about 8527.4375987163. The cubic root of 72717192 is about 417.3935177306.

The spelling of 72717192 in words is "seventy-two million, seven hundred seventeen thousand, one hundred ninety-two".