72498088 has 64 divisors (see below), whose sum is σ = 153216000. Its totient is φ = 31933440.

The previous prime is 72497989. The next prime is 72498089. The reversal of 72498088 is 88089427.

It is not an unprimeable number, because it can be changed into a prime (72498089) 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, 364213 + ... + 364411.

It is an arithmetic number, because the mean of its divisors is an integer number (2394000).

Almost surely, 2^72498088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72498088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76608000).

72498088 is an abundant number, since it is smaller than the sum of its proper divisors (80717912).

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

72498088 is a wasteful number, since it uses less digits than its factorization.

72498088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 46.

The square root of 72498088 is about 8514.5809057170. The cubic root of 72498088 is about 416.9738801698.

The spelling of 72498088 in words is "seventy-two million, four hundred ninety-eight thousand, eighty-eight".