180027072 has 168 divisors, whose sum is σ = 547762176. Its totient is φ = 56415744.

The previous prime is 180027047. The next prime is 180027073. The reversal of 180027072 is 270720081.

180027072 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (180027073) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1417473 + ... + 1417599.

Almost surely, 2^180027072 is an apocalyptic number.

180027072 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 180027072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273881088).

180027072 is an abundant number, since it is smaller than the sum of its proper divisors (367735104).

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

180027072 is a wasteful number, since it uses less digits than its factorization.

180027072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 180027072 is about 13417.4167409379. The cubic root of 180027072 is about 564.6499222734.

The spelling of 180027072 in words is "one hundred eighty million, twenty-seven thousand, seventy-two".