72389160 has 128 divisors (see below), whose sum is σ = 244137600. Its totient is φ = 19077120.

The previous prime is 72389147. The next prime is 72389171. The reversal of 72389160 is 6198327.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104415 + ... + 105105.

It is an arithmetic number, because the mean of its divisors is an integer number (1907325).

Almost surely, 2^72389160 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72389160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122068800).

72389160 is an abundant number, since it is smaller than the sum of its proper divisors (171748440).

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

72389160 is a wasteful number, since it uses less digits than its factorization.

72389160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 808 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 72389160 is about 8508.1819444579. The cubic root of 72389160 is about 416.7649417968.

The spelling of 72389160 in words is "seventy-two million, three hundred eighty-nine thousand, one hundred sixty".