36752 has 10 divisors (see below), whose sum is σ = 71238. Its totient is φ = 18368.

The previous prime is 36749. The next prime is 36761. The reversal of 36752 is 25763.

It can be written as a sum of positive squares in only one way, i.e., 30976 + 5776 = 176^2 + 76^2 .

It is an unprimeable number.

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 as a sum of consecutive naturals, namely, 1133 + ... + 1164.

2³⁶⁷⁵² is an apocalyptic number.

It is an amenable number.

36752 is a deficient number, since it is larger than the sum of its proper divisors (34486).

36752 is a wasteful number, since it uses less digits than its factorization.

36752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2305 (or 2299 counting only the distinct ones).

The product of its digits is 1260, while the sum is 23.

The square root of 36752 is about 191.7081114611. The cubic root of 36752 is about 33.2476019150.

It can be divided in two parts, 36 and 752, that multiplied together give a palindrome (27072).

The spelling of 36752 in words is "thirty-six thousand, seven hundred fifty-two".