72208608 has 96 divisors (see below), whose sum is σ = 201670560. Its totient is φ = 22579200.

The previous prime is 72208603. The next prime is 72208627. The reversal of 72208608 is 80680227.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72208601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102658 + ... + 103358.

It is an arithmetic number, because the mean of its divisors is an integer number (2100735).

Almost surely, 2^72208608 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 72208608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100835280).

72208608 is an abundant number, since it is smaller than the sum of its proper divisors (129461952).

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

72208608 is a wasteful number, since it uses less digits than its factorization.

72208608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 72208608 is about 8497.5648276433. The cubic root of 72208608 is about 416.4181569503.

The spelling of 72208608 in words is "seventy-two million, two hundred eight thousand, six hundred eight".