72208320 has 56 divisors (see below), whose sum is σ = 229264464. Its totient is φ = 19255296.

The previous prime is 72208319. The next prime is 72208327. The reversal of 72208320 is 2380227.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72208327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36649 + ... + 38568.

Almost surely, 2^72208320 is an apocalyptic number.

It is an amenable number.

72208320 is an abundant number, since it is smaller than the sum of its proper divisors (157056144).

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

72208320 is a wasteful number, since it uses less digits than its factorization.

72208320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75237 (or 75227 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 72208320 is about 8497.5478815950. The cubic root of 72208320 is about 416.4176033293.

Adding to 72208320 its reverse (2380227), we get a palindrome (74588547).

The spelling of 72208320 in words is "seventy-two million, two hundred eight thousand, three hundred twenty".