72149184 has 112 divisors (see below), whose sum is σ = 217261440. Its totient is φ = 23466240.

The previous prime is 72149117. The next prime is 72149191. The reversal of 72149184 is 48194127.

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 15 ways as a sum of consecutive naturals, for example, 73819 + ... + 74789.

Almost surely, 2^72149184 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 72149184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108630720).

72149184 is an abundant number, since it is smaller than the sum of its proper divisors (145112256).

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

72149184 is a wasteful number, since it uses less digits than its factorization.

72149184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1035 (or 1019 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 72149184 is about 8494.0675768444. The cubic root of 72149184 is about 416.3038953021.

The spelling of 72149184 in words is "seventy-two million, one hundred forty-nine thousand, one hundred eighty-four".