327132 has 48 divisors (see below), whose sum is σ = 917280. Its totient is φ = 100224.

The previous prime is 327127. The next prime is 327133. The reversal of 327132 is 231723.

327132 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (327133) by changing a digit.

327132 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 15 ways as a sum of consecutive naturals, for example, 1288 + ... + 1520.

It is an arithmetic number, because the mean of its divisors is an integer number (19110).

2³²⁷¹³² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 327132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458640).

327132 is an abundant number, since it is smaller than the sum of its proper divisors (590148).

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

327132 is a wasteful number, since it uses less digits than its factorization.

327132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 251 counting only the distinct ones).

The product of its digits is 252, while the sum is 18.

The square root of 327132 is about 571.9545436484. The cubic root of 327132 is about 68.9034566640.

Adding to 327132 its reverse (231723), we get a palindrome (558855).

The spelling of 327132 in words is "three hundred twenty-seven thousand, one hundred thirty-two".