6882752 has 56 divisors (see below), whose sum is σ = 14551152. Its totient is φ = 3225600.

The previous prime is 6882697. The next prime is 6882761. The reversal of 6882752 is 2572886.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 112802 + ... + 112862.

It is an arithmetic number, because the mean of its divisors is an integer number (259842).

Almost surely, 2^6882752 is an apocalyptic number.

It is a pronic number, being equal to 2623×2624.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6882752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7275576).

6882752 is an abundant number, since it is smaller than the sum of its proper divisors (7668400).

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

6882752 is a wasteful number, since it uses less digits than its factorization.

6882752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 147 counting only the distinct ones).

The product of its digits is 53760, while the sum is 38.

The square root of 6882752 is about 2623.4999523537. The cubic root of 6882752 is about 190.2190640418.

It can be divided in two parts, 688 and 2752, that multiplied together give a square (1893376 = 1376²).

The spelling of 6882752 in words is "six million, eight hundred eighty-two thousand, seven hundred fifty-two".