72753192 has 24 divisors (see below), whose sum is σ = 197040090. Its totient is φ = 24251040.

The previous prime is 72753181. The next prime is 72753193. The reversal of 72753192 is 29135727.

It can be written as a sum of positive squares in only one way, i.e., 72692676 + 60516 = 8526^2 + 246^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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 (72753193) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 505159 + ... + 505302.

Almost surely, 2^72753192 is an apocalyptic number.

72753192 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

72753192 is an abundant number, since it is smaller than the sum of its proper divisors (124286898).

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

72753192 is a wasteful number, since it uses less digits than its factorization.

72753192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010473 (or 1010466 counting only the distinct ones).

The product of its digits is 26460, while the sum is 36.

The square root of 72753192 is about 8529.5481709174. The cubic root of 72753192 is about 417.4623858448.

The spelling of 72753192 in words is "seventy-two million, seven hundred fifty-three thousand, one hundred ninety-two".