72014184 has 80 divisors (see below), whose sum is σ = 220065120. Its totient is φ = 21820320.

The previous prime is 72014179. The next prime is 72014249. The reversal of 72014184 is 48141027.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2077 + ... + 12179.

It is an arithmetic number, because the mean of its divisors is an integer number (2750814).

Almost surely, 2^72014184 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 72014184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110032560).

72014184 is an abundant number, since it is smaller than the sum of its proper divisors (148050936).

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

72014184 is a wasteful number, since it uses less digits than its factorization.

72014184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10132 (or 10119 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 72014184 is about 8486.1171332948. The cubic root of 72014184 is about 416.0440812509.

The spelling of 72014184 in words is "seventy-two million, fourteen thousand, one hundred eighty-four".