132572196 has 81 divisors (see below), whose sum is σ = 357215313. Its totient is φ = 41450400.

The previous prime is 132572173. The next prime is 132572197. The reversal of 132572196 is 691275231.

The square root of 132572196 is 11514.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 127373796 + 5198400 = 11286^2 + 2280^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 132572196.

It is not an unprimeable number, because it can be changed into a prime (132572197) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1312546 + ... + 1312646.

Almost surely, 2^132572196 is an apocalyptic number.

132572196 is the 11514-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132572196

132572196 is an abundant number, since it is smaller than the sum of its proper divisors (224643117).

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

132572196 is a wasteful number, since it uses less digits than its factorization.

132572196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 125 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The cubic root of 132572196 is about 509.8989880685.

Multiplying 132572196 by its sum of digits (36), we get a square (4772599056 = 69084²).

132572196 divided by its sum of digits (36) gives a square (3682561 = 1919²).

The spelling of 132572196 in words is "one hundred thirty-two million, five hundred seventy-two thousand, one hundred ninety-six".