99752 has 16 divisors (see below), whose sum is σ = 192660. Its totient is φ = 48384.

The previous prime is 99733. The next prime is 99761. The reversal of 99752 is 25799.

It can be written as a sum of positive squares in 2 ways, for example, as 98596 + 1156 = 314^2 + 34^2 .

It is an Ulam number.

It is a nialpdrome in base 10.

It is an unprimeable number.

99752 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 (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 128 + ... + 464.

2⁹⁹⁷⁵² is an apocalyptic number.

It is an amenable number.

99752 is a deficient number, since it is larger than the sum of its proper divisors (92908).

99752 is a wasteful number, since it uses less digits than its factorization.

99752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 376 counting only the distinct ones).

The product of its digits is 5670, while the sum is 32.

The square root of 99752 is about 315.8354001691. The cubic root of 99752 is about 46.3774861051.

The spelling of 99752 in words is "ninety-nine thousand, seven hundred fifty-two".