6872 has 8 divisors (see below), whose sum is σ = 12900. Its totient is φ = 3432.

The previous prime is 6871. The next prime is 6883. The reversal of 6872 is 2786.

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

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6871) by changing a digit.

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, 422 + ... + 437.

2⁶⁸⁷² is an apocalyptic number.

It is an amenable number.

6872 is a deficient number, since it is larger than the sum of its proper divisors (6028).

6872 is a wasteful number, since it uses less digits than its factorization.

6872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865 (or 861 counting only the distinct ones).

The product of its digits is 672, while the sum is 23.

The square root of 6872 is about 82.8975271043. The cubic root of 6872 is about 19.0119961178.

It can be divided in two parts, 6 and 872, that added together give a palindrome (878).

The spelling of 6872 in words is "six thousand, eight hundred seventy-two".