180164772 has 36 divisors (see below), whose sum is σ = 461837376. Its totient is φ = 59208240.

The previous prime is 180164767. The next prime is 180164837. The reversal of 180164772 is 277461081.

180164772 is a `hidden beast` number, since 1 + 8 + 0 + 1 + 647 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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, 32688 + ... + 37799.

It is an arithmetic number, because the mean of its divisors is an integer number (12828816).

Almost surely, 2^180164772 is an apocalyptic number.

180164772 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

180164772 is an abundant number, since it is smaller than the sum of its proper divisors (281672604).

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

180164772 is a wasteful number, since it uses less digits than its factorization.

180164772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70568 (or 70563 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 180164772 is about 13422.5471502245. The cubic root of 180164772 is about 564.7938496616.

The spelling of 180164772 in words is "one hundred eighty million, one hundred sixty-four thousand, seven hundred seventy-two".