72686208 has 96 divisors (see below), whose sum is σ = 224652960. Its totient is φ = 20762112.

The previous prime is 72686183. The next prime is 72686213. The reversal of 72686208 is 80268627.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16885 + ... + 20747.

It is an arithmetic number, because the mean of its divisors is an integer number (2340135).

Almost surely, 2^72686208 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 72686208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112326480).

72686208 is an abundant number, since it is smaller than the sum of its proper divisors (151966752).

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

72686208 is a wasteful number, since it uses less digits than its factorization.

72686208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3894 (or 3875 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 72686208 is about 8525.6206812173. The cubic root of 72686208 is about 417.3342270382.

The spelling of 72686208 in words is "seventy-two million, six hundred eighty-six thousand, two hundred eight".