72731208 has 64 divisors (see below), whose sum is σ = 204779520. Its totient is φ = 21326400.

The previous prime is 72731203. The next prime is 72731209. The reversal of 72731208 is 80213727.

It is not an unprimeable number, because it can be changed into a prime (72731201) 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, 3741 + ... + 12627.

It is an arithmetic number, because the mean of its divisors is an integer number (3199680).

Almost surely, 2^72731208 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 72731208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102389760).

72731208 is an abundant number, since it is smaller than the sum of its proper divisors (132048312).

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

72731208 is a wasteful number, since it uses less digits than its factorization.

72731208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8938 (or 8934 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 72731208 is about 8528.2593769186. The cubic root of 72731208 is about 417.4203330845.

The spelling of 72731208 in words is "seventy-two million, seven hundred thirty-one thousand, two hundred eight".