72398592 has 162 divisors, whose sum is σ = 242177208. Its totient is φ = 20376576.

The previous prime is 72398581. The next prime is 72398593. The reversal of 72398592 is 29589327.

It is a super-2 number, since 2×72398592² = 10483112247164928, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72398593) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1080543 + ... + 1080609.

Almost surely, 2^72398592 is an apocalyptic number.

72398592 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72398592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121088604).

72398592 is an abundant number, since it is smaller than the sum of its proper divisors (169778616).

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

72398592 is an equidigital number, since it uses as much as digits as its factorization.

72398592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 79 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 72398592 is about 8508.7362163837. The cubic root of 72398592 is about 416.7830419111.

The spelling of 72398592 in words is "seventy-two million, three hundred ninety-eight thousand, five hundred ninety-two".