72384700 has 36 divisors (see below), whose sum is σ = 160427232. Its totient is φ = 28336000.

The previous prime is 72384673. The next prime is 72384709. The reversal of 72384700 is 748327.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72384709) 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, 3001 + ... + 12400.

It is an arithmetic number, because the mean of its divisors is an integer number (4456312).

Almost surely, 2^72384700 is an apocalyptic number.

It is an amenable number.

72384700 is an abundant number, since it is smaller than the sum of its proper divisors (88042532).

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

72384700 is a wasteful number, since it uses less digits than its factorization.

72384700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15462 (or 15455 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 31.

The square root of 72384700 is about 8507.9198397728. The cubic root of 72384700 is about 416.7563824590.

The spelling of 72384700 in words is "seventy-two million, three hundred eighty-four thousand, seven hundred".