32352 has 24 divisors (see below), whose sum is σ = 85176. Its totient is φ = 10752.

The previous prime is 32341. The next prime is 32353. The reversal of 32352 is 25323.

32352 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32353) by changing a digit.

32352 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 73 + ... + 264.

It is an arithmetic number, because the mean of its divisors is an integer number (3549).

2³²³⁵² is an apocalyptic number.

32352 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

32352 is an abundant number, since it is smaller than the sum of its proper divisors (52824).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42588).

32352 is a wasteful number, since it uses less digits than its factorization.

32352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 342 counting only the distinct ones).

The product of its digits is 180, while the sum is 15.

The square root of 32352 is about 179.8666172473. The cubic root of 32352 is about 31.8640062048.

Adding to 32352 its reverse (25323), we get a palindrome (57675).

It can be divided in two parts, 3 and 2352, that multiplied together give a square (7056 = 84²).

The spelling of 32352 in words is "thirty-two thousand, three hundred fifty-two".