180970272 has 72 divisors (see below), whose sum is σ = 588159936. Its totient is φ = 51705216.

The previous prime is 180970243. The next prime is 180970303. The reversal of 180970272 is 272079081.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42868 + ... + 46899.

It is an arithmetic number, because the mean of its divisors is an integer number (8168888).

Almost surely, 2^180970272 is an apocalyptic number.

180970272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

180970272 is an abundant number, since it is smaller than the sum of its proper divisors (407189664).

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

180970272 is a wasteful number, since it uses less digits than its factorization.

180970272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89790 (or 89779 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 180970272 is about 13452.5191692857. The cubic root of 180970272 is about 565.6343120146.

The spelling of 180970272 in words is "one hundred eighty million, nine hundred seventy thousand, two hundred seventy-two".