6728736 has 192 divisors, whose sum is σ = 23224320. Its totient is φ = 1658880.

The previous prime is 6728731. The next prime is 6728749. The reversal of 6728736 is 6378276.

6728736 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 6728694 and 6728703.

It is not an unprimeable number, because it can be changed into a prime (6728731) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 217041 + ... + 217071.

It is an arithmetic number, because the mean of its divisors is an integer number (120960).

Almost surely, 2^6728736 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 6728736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11612160).

6728736 is an abundant number, since it is smaller than the sum of its proper divisors (16495584).

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

6728736 is a wasteful number, since it uses less digits than its factorization.

6728736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 79 counting only the distinct ones).

The product of its digits is 84672, while the sum is 39.

The square root of 6728736 is about 2593.9807246778. The cubic root of 6728736 is about 188.7894971654.

The spelling of 6728736 in words is "six million, seven hundred twenty-eight thousand, seven hundred thirty-six".