72508488 has 64 divisors (see below), whose sum is σ = 196109760. Its totient is φ = 22208256.

The previous prime is 72508487. The next prime is 72508517. The reversal of 72508488 is 88480527.

It is a super-2 number, since 2×72508488² = 10514961664092288, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (72508487) 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, 95406 + ... + 96162.

It is an arithmetic number, because the mean of its divisors is an integer number (3064215).

Almost surely, 2^72508488 is an apocalyptic number.

72508488 is a gapful number since it is divisible by the number (78) 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 72508488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98054880).

72508488 is an abundant number, since it is smaller than the sum of its proper divisors (123601272).

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

72508488 is a wasteful number, since it uses less digits than its factorization.

72508488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1086 (or 1082 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 42.

The square root of 72508488 is about 8515.1916008978. The cubic root of 72508488 is about 416.9938178037.

The spelling of 72508488 in words is "seventy-two million, five hundred eight thousand, four hundred eighty-eight".