352032 has 48 divisors (see below), whose sum is σ = 977760. Its totient is φ = 110592.

The previous prime is 352021. The next prime is 352043. The reversal of 352032 is 230253.

It is an interprime number because it is at equal distance from previous prime (352021) and next prime (352043).

It is a tau number, because it is divible by the number of its divisors (48).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 352032.

It is an unprimeable number.

352032 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 7 ways as a sum of consecutive naturals, for example, 1728 + ... + 1920.

It is an arithmetic number, because the mean of its divisors is an integer number (20370).

2³⁵²⁰³² is an apocalyptic number.

352032 is a gapful number since it is divisible by the number (32) 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 352032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488880).

352032 is an abundant number, since it is smaller than the sum of its proper divisors (625728).

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

352032 is a wasteful number, since it uses less digits than its factorization.

352032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 217 counting only the distinct ones).

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

The square root of 352032 is about 593.3228463493. The cubic root of 352032 is about 70.6091062467.

Adding to 352032 its reverse (230253), we get a palindrome (582285).

The spelling of 352032 in words is "three hundred fifty-two thousand, thirty-two".