32172320 has 72 divisors (see below), whose sum is σ = 80362044. Its totient is φ = 12169728.

The previous prime is 32172319. The next prime is 32172323. The reversal of 32172320 is 2327123.

It can be written as a sum of positive squares in 2 ways, for example, as 29116816 + 3055504 = 5396^2 + 1748^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 32172292 and 32172301.

It is not an unprimeable number, because it can be changed into a prime (32172323) 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, 57482 + ... + 58038.

Almost surely, 2^32172320 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 32172320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40181022).

32172320 is an abundant number, since it is smaller than the sum of its proper divisors (48189724).

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

32172320 is a wasteful number, since it uses less digits than its factorization.

32172320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 20.

The square root of 32172320 is about 5672.0648797418. The cubic root of 32172320 is about 318.0490674914.

Adding to 32172320 its reverse (2327123), we get a palindrome (34499443).

The spelling of 32172320 in words is "thirty-two million, one hundred seventy-two thousand, three hundred twenty".