182664072 has 56 divisors (see below), whose sum is σ = 513524190. Its totient is φ = 60886080.

The previous prime is 182664019. The next prime is 182664077. The reversal of 182664072 is 270466281.

182664072 is a `hidden beast` number, since 1 + 8 + 2 + 6 + 640 + 7 + 2 = 666.

182664072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 152917956 + 29746116 = 12366^2 + 5454^2 .

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

It is not an unprimeable number, because it can be changed into a prime (182664077) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 9829 + ... + 21492.

Almost surely, 2^182664072 is an apocalyptic number.

182664072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

182664072 is an abundant number, since it is smaller than the sum of its proper divisors (330860118).

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

182664072 is an equidigital number, since it uses as much as digits as its factorization.

182664072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31345 (or 31326 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 182664072 is about 13515.3272990335. The cubic root of 182664072 is about 567.3935287717.

The spelling of 182664072 in words is "one hundred eighty-two million, six hundred sixty-four thousand, seventy-two".