6872944 has 40 divisors (see below), whose sum is σ = 14499072. Its totient is φ = 3137280.

The previous prime is 6872941. The next prime is 6872959. The reversal of 6872944 is 4492786.

It is a d-powerful number, because it can be written as 6 + 8³ + 7⁸ + 2¹⁹ + 9⁵ + 4⁹ + 4⁹ .

It is a junction number, because it is equal to n+sod(n) for n = 6872897 and 6872906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6872941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35889 + ... + 36079.

Almost surely, 2^6872944 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 6872944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7249536).

6872944 is an abundant number, since it is smaller than the sum of its proper divisors (7626128).

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

6872944 is a wasteful number, since it uses less digits than its factorization.

6872944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 379 counting only the distinct ones).

The product of its digits is 96768, while the sum is 40.

The square root of 6872944 is about 2621.6300272922. The cubic root of 6872944 is about 190.1286663113.

The spelling of 6872944 in words is "six million, eight hundred seventy-two thousand, nine hundred forty-four".