102752 has 36 divisors (see below), whose sum is σ = 230580. Its totient is φ = 44928.

The previous prime is 102701. The next prime is 102761. The reversal of 102752 is 257201.

It is a self number, because there is not a number n which added to its sum of digits gives 102752.

It is a congruent number.

It is an unprimeable number.

102752 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 5 ways as a sum of consecutive naturals, for example, 5399 + ... + 5417.

It is an arithmetic number, because the mean of its divisors is an integer number (6405).

2¹⁰²⁷⁵² 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 102752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115290).

102752 is an abundant number, since it is smaller than the sum of its proper divisors (127828).

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

102752 is a wasteful number, since it uses less digits than its factorization.

102752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 17.

The square root of 102752 is about 320.5495281544. The cubic root of 102752 is about 46.8378294956.

Adding to 102752 its reverse (257201), we get a palindrome (359953).

Subtracting 102752 from its reverse (257201), we obtain a square (154449 = 393²).

The spelling of 102752 in words is "one hundred two thousand, seven hundred fifty-two".