132175872 has 144 divisors (see below), whose sum is σ = 390957840. Its totient is φ = 43008000.

The previous prime is 132175861. The next prime is 132175873. The reversal of 132175872 is 278571231.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×132175872² = 34940922277920768, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132175873) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1308622 + ... + 1308722.

It is an arithmetic number, because the mean of its divisors is an integer number (2714985).

Almost surely, 2^132175872 is an apocalyptic number.

132175872 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 132175872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195478920).

132175872 is an abundant number, since it is smaller than the sum of its proper divisors (258781968).

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

132175872 is a wasteful number, since it uses less digits than its factorization.

132175872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 177 counting only the distinct ones).

The product of its digits is 23520, while the sum is 36.

The square root of 132175872 is about 11496.7765917234. The cubic root of 132175872 is about 509.3903672933.

The spelling of 132175872 in words is "one hundred thirty-two million, one hundred seventy-five thousand, eight hundred seventy-two".