355752 has 56 divisors (see below), whose sum is σ = 1016490. Its totient is φ = 116640.

The previous prime is 355723. The next prime is 355753. The reversal of 355752 is 257553.

It can be written as a sum of positive squares in only one way, i.e., 352836 + 2916 = 594^2 + 54^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (355753) by changing a digit.

355752 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 13 ways as a sum of consecutive naturals, for example, 5802 + ... + 5862.

2³⁵⁵⁷⁵² 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 355752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508245).

355752 is an abundant number, since it is smaller than the sum of its proper divisors (660738).

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

355752 is an equidigital number, since it uses as much as digits as its factorization.

355752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 66 counting only the distinct ones).

The product of its digits is 5250, while the sum is 27.

The square root of 355752 is about 596.4494949281. The cubic root of 355752 is about 70.8569492958.

It can be divided in two parts, 3 and 55752, that added together give a palindrome (55755).

The spelling of 355752 in words is "three hundred fifty-five thousand, seven hundred fifty-two".