166188672 has 224 divisors, whose sum is σ = 538477380. Its totient is φ = 50761728.

The previous prime is 166188667. The next prime is 166188683. The reversal of 166188672 is 276881661.

It is a happy number.

166188672 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 2 ways, for example, as 162409536 + 3779136 = 12744^2 + 1944^2 .

It is a super-2 number, since 2×166188672² = 55237349402247168, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1212988 + ... + 1213124.

Almost surely, 2^166188672 is an apocalyptic number.

166188672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166188672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269238690).

166188672 is an abundant number, since it is smaller than the sum of its proper divisors (372288708).

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

166188672 is an equidigital number, since it uses as much as digits as its factorization.

166188672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 155 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 166188672 is about 12891.4185410295. The cubic root of 166188672 is about 549.7946031942.

The spelling of 166188672 in words is "one hundred sixty-six million, one hundred eighty-eight thousand, six hundred seventy-two".