72598008 has 64 divisors (see below), whose sum is σ = 211680000. Its totient is φ = 20739936.

The previous prime is 72597983. The next prime is 72598021. The reversal of 72598008 is 80089527.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3823 + ... + 12641.

It is an arithmetic number, because the mean of its divisors is an integer number (3307500).

Almost surely, 2^72598008 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 72598008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105840000).

72598008 is an abundant number, since it is smaller than the sum of its proper divisors (139081992).

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

72598008 is a wasteful number, since it uses less digits than its factorization.

72598008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8849 (or 8831 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The square root of 72598008 is about 8520.4464671753. The cubic root of 72598008 is about 417.1653560410.

The spelling of 72598008 in words is "seventy-two million, five hundred ninety-eight thousand, eight".