180180072 has 64 divisors (see below), whose sum is σ = 509976000. Its totient is φ = 58923072.

The previous prime is 180180053. The next prime is 180180073. The reversal of 180180072 is 270081081.

180180072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (180180073) 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, 3579 + ... + 19317.

It is an arithmetic number, because the mean of its divisors is an integer number (7968375).

Almost surely, 2^180180072 is an apocalyptic number.

180180072 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 180180072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254988000).

180180072 is an abundant number, since it is smaller than the sum of its proper divisors (329795928).

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

180180072 is a wasteful number, since it uses less digits than its factorization.

180180072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15807 (or 15797 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The square root of 180180072 is about 13423.1170746589. The cubic root of 180180072 is about 564.8098370662.

The spelling of 180180072 in words is "one hundred eighty million, one hundred eighty thousand, seventy-two".