72384900 has 72 divisors (see below), whose sum is σ = 239359680. Its totient is φ = 16544640.

The previous prime is 72384883. The next prime is 72384901. The reversal of 72384900 is 948327.

It is not an unprimeable number, because it can be changed into a prime (72384901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15135 + ... + 19334.

It is an arithmetic number, because the mean of its divisors is an integer number (3324440).

Almost surely, 2^72384900 is an apocalyptic number.

72384900 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

72384900 is an abundant number, since it is smaller than the sum of its proper divisors (166974780).

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

72384900 is a wasteful number, since it uses less digits than its factorization.

72384900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34493 (or 34486 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 72384900 is about 8507.9315935191. The cubic root of 72384900 is about 416.7567662933.

The spelling of 72384900 in words is "seventy-two million, three hundred eighty-four thousand, nine hundred".