39752 has 8 divisors (see below), whose sum is σ = 74550. Its totient is φ = 19872.

The previous prime is 39749. The next prime is 39761. The reversal of 39752 is 25793.

It can be written as a sum of positive squares in only one way, i.e., 37636 + 2116 = 194^2 + 46^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a d-powerful number, because it can be written as 3⁹ + 9 + 7⁵ + 5⁵ + 2⁷ .

It is a nialpdrome in base 15.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 39752.

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, 2477 + ... + 2492.

2³⁹⁷⁵² is an apocalyptic number.

It is an amenable number.

39752 is a deficient number, since it is larger than the sum of its proper divisors (34798).

39752 is a wasteful number, since it uses less digits than its factorization.

39752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4975 (or 4971 counting only the distinct ones).

The product of its digits is 1890, while the sum is 26.

The square root of 39752 is about 199.3790360093. The cubic root of 39752 is about 34.1286933526.

The spelling of 39752 in words is "thirty-nine thousand, seven hundred fifty-two".