132072 has 16 divisors (see below), whose sum is σ = 330240. Its totient is φ = 44016.

The previous prime is 132071. The next prime is 132103. The reversal of 132072 is 270231.

It is not an unprimeable number, because it can be changed into a prime (132071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2728 + ... + 2775.

It is an arithmetic number, because the mean of its divisors is an integer number (20640).

2¹³²⁰⁷² is an apocalyptic number.

132072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132072 is an abundant number, since it is smaller than the sum of its proper divisors (198168).

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

132072 is a wasteful number, since it uses less digits than its factorization.

132072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5512 (or 5508 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 15.

The square root of 132072 is about 363.4171157224. The cubic root of 132072 is about 50.9256895473.

The spelling of 132072 in words is "one hundred thirty-two thousand, seventy-two".