6766872 has 64 divisors (see below), whose sum is σ = 19768320. Its totient is φ = 1890048.

The previous prime is 6766871. The next prime is 6766883. The reversal of 6766872 is 2786676.

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6766871) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7468 + ... + 8324.

It is an arithmetic number, because the mean of its divisors is an integer number (308880).

Almost surely, 2^6766872 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 6766872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9884160).

6766872 is an abundant number, since it is smaller than the sum of its proper divisors (13001448).

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

6766872 is a wasteful number, since it uses less digits than its factorization.

6766872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920 (or 916 counting only the distinct ones).

The product of its digits is 169344, while the sum is 42.

The square root of 6766872 is about 2601.3212027737. The cubic root of 6766872 is about 189.1454886040.

Subtracting from 6766872 its product of digits (169344), we obtain a triangular number (6597528 = T₃₆₃₂).

The spelling of 6766872 in words is "six million, seven hundred sixty-six thousand, eight hundred seventy-two".