132372 has 18 divisors (see below), whose sum is σ = 334698. Its totient is φ = 44112.

The previous prime is 132371. The next prime is 132383. The reversal of 132372 is 273231.

It can be written as a sum of positive squares in only one way, i.e., 125316 + 7056 = 354^2 + 84^2 .

It is a tau number, because it is divible by the number of its divisors (18).

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

It is an Ulam number.

It is a d-powerful number, because it can be written as 1 + 3² + 3⁶ + 2⁹ + 7² + 2¹⁷ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1803 + ... + 1874.

2¹³²³⁷² is an apocalyptic number.

132372 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132372 is an abundant number, since it is smaller than the sum of its proper divisors (202326).

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

132372 is a wasteful number, since it uses less digits than its factorization.

132372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3687 (or 3682 counting only the distinct ones).

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

The square root of 132372 is about 363.8296304591. The cubic root of 132372 is about 50.9642194243.

The spelling of 132372 in words is "one hundred thirty-two thousand, three hundred seventy-two".