72132 has 12 divisors (see below), whose sum is σ = 168336. Its totient is φ = 24040.

The previous prime is 72109. The next prime is 72139. The reversal of 72132 is 23127.

It is a tau number, because it is divible by the number of its divisors (12).

It is a Smith number, since the sum of its digits (15) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (72139) 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, 2994 + ... + 3017.

It is an arithmetic number, because the mean of its divisors is an integer number (14028).

2⁷²¹³² is an apocalyptic number.

It is an amenable number.

72132 is an abundant number, since it is smaller than the sum of its proper divisors (96204).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84168).

72132 is a wasteful number, since it uses less digits than its factorization.

72132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6018 (or 6016 counting only the distinct ones).

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

The square root of 72132 is about 268.5740121456. The cubic root of 72132 is about 41.6270841871.

Adding to 72132 its reverse (23127), we get a palindrome (95259).

The spelling of 72132 in words is "seventy-two thousand, one hundred thirty-two".