132583272 has 64 divisors (see below), whose sum is σ = 354352320. Its totient is φ = 41192448.

The previous prime is 132583271. The next prime is 132583279. The reversal of 132583272 is 272385231.

It is not an unprimeable number, because it can be changed into a prime (132583271) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42138 + ... + 45174.

It is an arithmetic number, because the mean of its divisors is an integer number (5536755).

Almost surely, 2^132583272 is an apocalyptic number.

132583272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132583272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177176160).

132583272 is an abundant number, since it is smaller than the sum of its proper divisors (221769048).

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

132583272 is a wasteful number, since it uses less digits than its factorization.

132583272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3170 (or 3166 counting only the distinct ones).

The product of its digits is 20160, while the sum is 33.

The square root of 132583272 is about 11514.4809696312. The cubic root of 132583272 is about 509.9131878381.

The spelling of 132583272 in words is "one hundred thirty-two million, five hundred eighty-three thousand, two hundred seventy-two".