72498312 has 48 divisors (see below), whose sum is σ = 197038140. Its totient is φ = 24081408.

The previous prime is 72498311. The next prime is 72498337. The reversal of 72498312 is 21389427.

It can be written as a sum of positive squares in 2 ways, for example, as 71470116 + 1028196 = 8454^2 + 1014^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72498311) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20928 + ... + 24144.

Almost surely, 2^72498312 is an apocalyptic number.

72498312 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

72498312 is an abundant number, since it is smaller than the sum of its proper divisors (124539828).

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

72498312 is a wasteful number, since it uses less digits than its factorization.

72498312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3542 (or 3535 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 72498312 is about 8514.5940596132. The cubic root of 72498312 is about 416.9743096158.

The spelling of 72498312 in words is "seventy-two million, four hundred ninety-eight thousand, three hundred twelve".