72384160 has 24 divisors (see below), whose sum is σ = 171007956. Its totient is φ = 28953600.

The previous prime is 72384139. The next prime is 72384161. The reversal of 72384160 is 6148327.

It can be written as a sum of positive squares in 2 ways, for example, as 65351056 + 7033104 = 8084^2 + 2652^2 .

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (72384161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 226041 + ... + 226360.

Almost surely, 2^72384160 is an apocalyptic number.

It is an amenable number.

72384160 is an abundant number, since it is smaller than the sum of its proper divisors (98623796).

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

72384160 is a wasteful number, since it uses less digits than its factorization.

72384160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452416 (or 452408 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 72384160 is about 8507.8881045768. Note that the first 3 decimals coincide. The cubic root of 72384160 is about 416.7553461027.

The spelling of 72384160 in words is "seventy-two million, three hundred eighty-four thousand, one hundred sixty".