180572112 has 160 divisors (see below), whose sum is σ = 597263360. Its totient is φ = 51166080.

The previous prime is 180572107. The next prime is 180572141. The reversal of 180572112 is 211275081.

180572112 is a `hidden beast` number, since 1 + 80 + 572 + 1 + 12 = 666.

180572112 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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 637923 + ... + 638205.

It is an arithmetic number, because the mean of its divisors is an integer number (3732896).

Almost surely, 2^180572112 is an apocalyptic number.

180572112 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 180572112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298631680).

180572112 is an abundant number, since it is smaller than the sum of its proper divisors (416691248).

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

180572112 is a wasteful number, since it uses less digits than its factorization.

180572112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 27.

The square root of 180572112 is about 13437.7123052996. The cubic root of 180572112 is about 565.2191824576.

The spelling of 180572112 in words is "one hundred eighty million, five hundred seventy-two thousand, one hundred twelve".