132972 has 24 divisors (see below), whose sum is σ = 354816. Its totient is φ = 37968.

The previous prime is 132971. The next prime is 132989. The reversal of 132972 is 279231.

It is a plaindrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (132971) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 708 + ... + 875.

It is an arithmetic number, because the mean of its divisors is an integer number (14784).

2¹³²⁹⁷² is an apocalyptic number.

132972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132972 is an abundant number, since it is smaller than the sum of its proper divisors (221844).

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

132972 is a wasteful number, since it uses less digits than its factorization.

132972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1597 (or 1595 counting only the distinct ones).

The product of its digits is 756, while the sum is 24.

The square root of 132972 is about 364.6532599607. The cubic root of 132972 is about 51.0411048853.

The spelling of 132972 in words is "one hundred thirty-two thousand, nine hundred seventy-two".