72333408 has 72 divisors (see below), whose sum is σ = 220889592. Its totient is φ = 20665344.

The previous prime is 72333407. The next prime is 72333433. The reversal of 72333408 is 80433327.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72333403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2985 + ... + 12392.

It is an arithmetic number, because the mean of its divisors is an integer number (3067911).

Almost surely, 2^72333408 is an apocalyptic number.

It is an amenable number.

72333408 is an abundant number, since it is smaller than the sum of its proper divisors (148556184).

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

72333408 is a wasteful number, since it uses less digits than its factorization.

72333408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15404 (or 15389 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 72333408 is about 8504.9049377403. The cubic root of 72333408 is about 416.6579209542.

The spelling of 72333408 in words is "seventy-two million, three hundred thirty-three thousand, four hundred eight".