6728544 has 72 divisors (see below), whose sum is σ = 19498752. Its totient is φ = 2200320.

The previous prime is 6728543. The next prime is 6728563. The reversal of 6728544 is 4458276.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6728499 and 6728508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6728543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17377 + ... + 17759.

It is an arithmetic number, because the mean of its divisors is an integer number (270816).

Almost surely, 2^6728544 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 6728544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9749376).

6728544 is an abundant number, since it is smaller than the sum of its proper divisors (12770208).

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

6728544 is a wasteful number, since it uses less digits than its factorization.

6728544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 449 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 6728544 is about 2593.9437156577. The cubic root of 6728544 is about 188.7877014875.

It can be divided in two parts, 672 and 8544, that added together give a square (9216 = 96²).

The spelling of 6728544 in words is "six million, seven hundred twenty-eight thousand, five hundred forty-four".