35752 has 16 divisors (see below), whose sum is σ = 69300. Its totient is φ = 17280.

The previous prime is 35747. The next prime is 35753. The reversal of 35752 is 25753.

It can be written as a sum of positive squares in 2 ways, for example, as 34596 + 1156 = 186^2 + 34^2 .

It is not an unprimeable number, because it can be changed into a prime (35753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 274 + ... + 382.

2³⁵⁷⁵² is an apocalyptic number.

It is an amenable number.

35752 is a deficient number, since it is larger than the sum of its proper divisors (33548).

35752 is a wasteful number, since it uses less digits than its factorization.

35752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 152 counting only the distinct ones).

The product of its digits is 1050, while the sum is 22.

The square root of 35752 is about 189.0819927968. The cubic root of 35752 is about 32.9432756765.

Subtracting from 35752 its reverse (25753), we obtain a palindrome (9999).

It can be divided in two parts, 35 and 752, that added together give a palindrome (787).

The spelling of 35752 in words is "thirty-five thousand, seven hundred fifty-two".