184149072 has 80 divisors (see below), whose sum is σ = 546840000. Its totient is φ = 59262336.

The previous prime is 184149047. The next prime is 184149073. The reversal of 184149072 is 270941481.

184149072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×184149072² = 67821761436922368, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (184149073) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5179 + ... + 19877.

It is an arithmetic number, because the mean of its divisors is an integer number (6835500).

Almost surely, 2^184149072 is an apocalyptic number.

184149072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 184149072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273420000).

184149072 is an abundant number, since it is smaller than the sum of its proper divisors (362690928).

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

184149072 is a wasteful number, since it uses less digits than its factorization.

184149072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14745 (or 14733 counting only the distinct ones).

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

The square root of 184149072 is about 13570.1537205737. The cubic root of 184149072 is about 568.9269562969.

The spelling of 184149072 in words is "one hundred eighty-four million, one hundred forty-nine thousand, seventy-two".