72786208 has 24 divisors (see below), whose sum is σ = 156325680. Its totient is φ = 33084480.

The previous prime is 72786199. The next prime is 72786209. The reversal of 72786208 is 80268727.

It is not an unprimeable number, because it can be changed into a prime (72786209) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 103038 + ... + 103741.

It is an arithmetic number, because the mean of its divisors is an integer number (6513570).

Almost surely, 2^72786208 is an apocalyptic number.

It is an amenable number.

72786208 is an abundant number, since it is smaller than the sum of its proper divisors (83539472).

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

72786208 is a wasteful number, since it uses less digits than its factorization.

72786208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206800 (or 206792 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 40.

The square root of 72786208 is about 8531.4833411312. The cubic root of 72786208 is about 417.5255255887.

The spelling of 72786208 in words is "seventy-two million, seven hundred eighty-six thousand, two hundred eight".