6787872 has 216 divisors, whose sum is σ = 24835356. Its totient is φ = 1741824.

The previous prime is 6787871. The next prime is 6787873. The reversal of 6787872 is 2787876.

It is an interprime number because it is at equal distance from previous prime (6787871) and next prime (6787873).

It can be written as a sum of positive squares in 2 ways, for example, as 6780816 + 7056 = 2604^2 + 84^2 .

It is a nude number because it is divisible by every one of its digits.

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (6787871) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 183438 + ... + 183474.

Almost surely, 2^6787872 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 6787872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12417678).

6787872 is an abundant number, since it is smaller than the sum of its proper divisors (18047484).

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

6787872 is a wasteful number, since it uses less digits than its factorization.

6787872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 62 counting only the distinct ones).

The product of its digits is 263424, while the sum is 45.

The square root of 6787872 is about 2605.3544864375. The cubic root of 6787872 is about 189.3409483591.

The spelling of 6787872 in words is "six million, seven hundred eighty-seven thousand, eight hundred seventy-two".