72384328 has 16 divisors (see below), whose sum is σ = 135811260. Its totient is φ = 36168000.

The previous prime is 72384293. The next prime is 72384329. The reversal of 72384328 is 82348327.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 67535524 + 4848804 = 8218^2 + 2202^2 .

It is not an unprimeable number, because it can be changed into a prime (72384329) 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, 20278 + ... + 23578.

Almost surely, 2^72384328 is an apocalyptic number.

It is an amenable number.

72384328 is a deficient number, since it is larger than the sum of its proper divisors (63426932).

72384328 is a wasteful number, since it uses less digits than its factorization.

72384328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6048 (or 6044 counting only the distinct ones).

The product of its digits is 64512, while the sum is 37.

The square root of 72384328 is about 8507.8979777616. The cubic root of 72384328 is about 416.7556685252.

It can be divided in two parts, 72 and 384328, that added together give a square (384400 = 620²).

The spelling of 72384328 in words is "seventy-two million, three hundred eighty-four thousand, three hundred twenty-eight".