32172160 has 64 divisors (see below), whose sum is σ = 81463320. Its totient is φ = 12107776.

The previous prime is 32172157. The next prime is 32172163. The reversal of 32172160 is 6127123.

It is an interprime number because it is at equal distance from previous prime (32172157) and next prime (32172163).

It can be written as a sum of positive squares in 4 ways, for example, as 25160256 + 7011904 = 5016^2 + 2648^2 .

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 (32172163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9402 + ... + 12358.

Almost surely, 2^32172160 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 32172160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40731660).

32172160 is an abundant number, since it is smaller than the sum of its proper divisors (49291160).

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

32172160 is a wasteful number, since it uses less digits than its factorization.

32172160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2993 (or 2981 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 32172160 is about 5672.0507755132. The cubic root of 32172160 is about 318.0485402480.

Adding to 32172160 its reverse (6127123), we get a palindrome (38299283).

The spelling of 32172160 in words is "thirty-two million, one hundred seventy-two thousand, one hundred sixty".