172668132 has 96 divisors (see below), whose sum is σ = 550995200. Its totient is φ = 45536256.

The previous prime is 172668127. The next prime is 172668151. The reversal of 172668132 is 231866271.

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 31 ways as a sum of consecutive naturals, for example, 1044 + ... + 18612.

Almost surely, 2^172668132 is an apocalyptic number.

172668132 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 172668132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275497600).

172668132 is an abundant number, since it is smaller than the sum of its proper divisors (378327068).

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

172668132 is a wasteful number, since it uses less digits than its factorization.

172668132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17602 (or 17594 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 172668132 is about 13140.3246535236. The cubic root of 172668132 is about 556.8489394781.

The spelling of 172668132 in words is "one hundred seventy-two million, six hundred sixty-eight thousand, one hundred thirty-two".