180013872 has 40 divisors (see below), whose sum is σ = 467420976. Its totient is φ = 59696896.

The previous prime is 180013853. The next prime is 180013877. The reversal of 180013872 is 278310081.

It is a happy number.

180013872 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 2×180013872² = 64809988224864768, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (180013877) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63 + ... + 18974.

Almost surely, 2^180013872 is an apocalyptic number.

180013872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

180013872 is an abundant number, since it is smaller than the sum of its proper divisors (287407104).

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

180013872 is a wasteful number, since it uses less digits than its factorization.

180013872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19245 (or 19239 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The square root of 180013872 is about 13416.9248339551. The cubic root of 180013872 is about 564.6361214580.

The spelling of 180013872 in words is "one hundred eighty million, thirteen thousand, eight hundred seventy-two".