132182072 has 64 divisors (see below), whose sum is σ = 288684000. Its totient is φ = 56074240.

The previous prime is 132181963. The next prime is 132182101. The reversal of 132182072 is 270281231.

132182072 = 144² + 145² + ... + 736².

132182072 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 222608 + ... + 223200.

Almost surely, 2^132182072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132182072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144342000).

132182072 is an abundant number, since it is smaller than the sum of its proper divisors (156501928).

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

132182072 is a wasteful number, since it uses less digits than its factorization.

132182072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 132182072 is about 11497.0462293582. The cubic root of 132182072 is about 509.3983318606.

The spelling of 132182072 in words is "one hundred thirty-two million, one hundred eighty-two thousand, seventy-two".