32132000 has 96 divisors (see below), whose sum is σ = 81965520. Its totient is φ = 12364800.

The previous prime is 32131997. The next prime is 32132003. The reversal of 32132000 is 23123.

It is an interprime number because it is at equal distance from previous prime (32131997) and next prime (32132003).

It can be written as a sum of positive squares in 8 ways, for example, as 5776 + 32126224 = 76^2 + 5668^2 .

It is not an unprimeable number, because it can be changed into a prime (32132003) 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, 115862 + ... + 116138.

Almost surely, 2^32132000 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 32132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40982760).

32132000 is an abundant number, since it is smaller than the sum of its proper divisors (49833520).

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

32132000 is a wasteful number, since it uses less digits than its factorization.

32132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 32132000 is about 5668.5095042701. The cubic root of 32132000 is about 317.9161468187.

Adding to 32132000 its reverse (23123), we get a palindrome (32155123).

The spelling of 32132000 in words is "thirty-two million, one hundred thirty-two thousand".