132575872 has 64 divisors (see below), whose sum is σ = 310332960. Its totient is φ = 55618560.

The previous prime is 132575869. The next prime is 132575873. The reversal of 132575872 is 278575231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (132575873) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14683 + ... + 21925.

Almost surely, 2^132575872 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 132575872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155166480).

132575872 is an abundant number, since it is smaller than the sum of its proper divisors (177757088).

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

132575872 is a wasteful number, since it uses less digits than its factorization.

132575872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7281 (or 7269 counting only the distinct ones).

The product of its digits is 117600, while the sum is 40.

The square root of 132575872 is about 11514.1596306461. The cubic root of 132575872 is about 509.9037009002.

The spelling of 132575872 in words is "one hundred thirty-two million, five hundred seventy-five thousand, eight hundred seventy-two".