352152 has 48 divisors (see below), whose sum is σ = 981240. Its totient is φ = 114048.

The previous prime is 352133. The next prime is 352181. The reversal of 352152 is 251253.

It is a happy number.

It is a super-2 number, since 2×352152² = 248022062208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

352152 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 11 ways as a sum of consecutive naturals, for example, 4788 + ... + 4860.

2³⁵²¹⁵² 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 352152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490620).

352152 is an abundant number, since it is smaller than the sum of its proper divisors (629088).

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

352152 is a wasteful number, since it uses less digits than its factorization.

352152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 145 counting only the distinct ones).

The product of its digits is 300, while the sum is 18.

The square root of 352152 is about 593.4239631157. The cubic root of 352152 is about 70.6171283680.

It can be divided in two parts, 35 and 2152, that added together give a 7-th power (2187 = 3⁷).

The spelling of 352152 in words is "three hundred fifty-two thousand, one hundred fifty-two".