180789072 has 80 divisors (see below), whose sum is σ = 481492992. Its totient is φ = 58423680.

The previous prime is 180789061. The next prime is 180789073. The reversal of 180789072 is 270987081.

180789072 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180789073) 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, 286197 + ... + 286827.

Almost surely, 2^180789072 is an apocalyptic number.

180789072 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 180789072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240746496).

180789072 is an abundant number, since it is smaller than the sum of its proper divisors (300703920).

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

180789072 is a wasteful number, since it uses less digits than its factorization.

180789072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 816 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 42.

The square root of 180789072 is about 13445.7826845446. The cubic root of 180789072 is about 565.4454648577.

The spelling of 180789072 in words is "one hundred eighty million, seven hundred eighty-nine thousand, seventy-two".