102872 has 32 divisors (see below), whose sum is σ = 241920. Its totient is φ = 39840.

The previous prime is 102871. The next prime is 102877. The reversal of 102872 is 278201.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 102872.

It is not an unprimeable number, because it can be changed into a prime (102871) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 533 + ... + 699.

It is an arithmetic number, because the mean of its divisors is an integer number (7560).

2¹⁰²⁸⁷² 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 102872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120960).

102872 is an abundant number, since it is smaller than the sum of its proper divisors (139048).

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

102872 is a wasteful number, since it uses less digits than its factorization.

102872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 20.

The square root of 102872 is about 320.7366520995. The cubic root of 102872 is about 46.8560557522.

It can be divided in two parts, 10 and 2872, that added together give a palindrome (2882).

The spelling of 102872 in words is "one hundred two thousand, eight hundred seventy-two".