6865672 has 32 divisors (see below), whose sum is σ = 14284800. Its totient is φ = 3067200.

The previous prime is 6865667. The next prime is 6865679. The reversal of 6865672 is 2765686.

It is a super-3 number, since 3×6865672³ (a number of 21 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (6865679) 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, 4729 + ... + 6007.

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

Almost surely, 2^6865672 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 6865672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7142400).

6865672 is an abundant number, since it is smaller than the sum of its proper divisors (7419128).

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

6865672 is a wasteful number, since it uses less digits than its factorization.

6865672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1357 (or 1353 counting only the distinct ones).

The product of its digits is 120960, while the sum is 40.

The square root of 6865672 is about 2620.2427368471. The cubic root of 6865672 is about 190.0615866833.

The spelling of 6865672 in words is "six million, eight hundred sixty-five thousand, six hundred seventy-two".