72839184 has 160 divisors (see below), whose sum is σ = 218557440. Its totient is φ = 20697600.

The previous prime is 72839177. The next prime is 72839189. The reversal of 72839184 is 48193827.

Its product of digits (96768) is a multiple of the sum of its prime factors (189).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72839189) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1025869 + ... + 1025939.

It is an arithmetic number, because the mean of its divisors is an integer number (1365984).

Almost surely, 2^72839184 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 72839184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109278720).

72839184 is an abundant number, since it is smaller than the sum of its proper divisors (145718256).

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

72839184 is a wasteful number, since it uses less digits than its factorization.

72839184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 183 counting only the distinct ones).

The product of its digits is 96768, while the sum is 42.

The square root of 72839184 is about 8534.5875120008. The cubic root of 72839184 is about 417.6267969182.

The spelling of 72839184 in words is "seventy-two million, eight hundred thirty-nine thousand, one hundred eighty-four".