180657072 has 60 divisors (see below), whose sum is σ = 515150064. Its totient is φ = 59080320.

The previous prime is 180657031. The next prime is 180657083. The reversal of 180657072 is 270756081.

180657072 is a `hidden beast` number, since 1 + 80 + 6 + 570 + 7 + 2 = 666.

It is a super-2 number, since 2×180657072² = 65273955327226368, which contains 22 as substring.

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 (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4204 + ... + 19467.

Almost surely, 2^180657072 is an apocalyptic number.

180657072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

180657072 is an abundant number, since it is smaller than the sum of its proper divisors (334492992).

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

180657072 is a wasteful number, since it uses less digits than its factorization.

180657072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23738 (or 23729 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 180657072 is about 13440.8731859206. The cubic root of 180657072 is about 565.3078146238.

Subtracting 180657072 from its reverse (270756081), we obtain a palindrome (90099009).

The spelling of 180657072 in words is "one hundred eighty million, six hundred fifty-seven thousand, seventy-two".