6871728 has 40 divisors (see below), whose sum is σ = 17856000. Its totient is φ = 2277184.

The previous prime is 6871717. The next prime is 6871759. The reversal of 6871728 is 8271786.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11173 + ... + 11771.

It is an arithmetic number, because the mean of its divisors is an integer number (446400).

Almost surely, 2^6871728 is an apocalyptic number.

It is an amenable number.

6871728 is an abundant number, since it is smaller than the sum of its proper divisors (10984272).

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

6871728 is a wasteful number, since it uses less digits than its factorization.

6871728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 849 (or 843 counting only the distinct ones).

The product of its digits is 37632, while the sum is 39.

The square root of 6871728 is about 2621.3981002511. The cubic root of 6871728 is about 190.1174527714.

It can be divided in two parts, 687 and 1728, that added together give a triangular number (2415 = T₆₉).

The spelling of 6871728 in words is "six million, eight hundred seventy-one thousand, seven hundred twenty-eight".