72398208 has 64 divisors (see below), whose sum is σ = 202449600. Its totient is φ = 22860288.

The previous prime is 72398191. The next prime is 72398231. The reversal of 72398208 is 80289327.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×72398208² = 10483001043222528, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2335 + ... + 12257.

It is an arithmetic number, because the mean of its divisors is an integer number (3163275).

Almost surely, 2^72398208 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 72398208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101224800).

72398208 is an abundant number, since it is smaller than the sum of its proper divisors (130051392).

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

72398208 is a wasteful number, since it uses less digits than its factorization.

72398208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9959 (or 9947 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 72398208 is about 8508.7136513106. The cubic root of 72398208 is about 416.7823050414.

The spelling of 72398208 in words is "seventy-two million, three hundred ninety-eight thousand, two hundred eight".