6728337 has 72 divisors (see below), whose sum is σ = 13160160. Its totient is φ = 3265920.

The previous prime is 6728327. The next prime is 6728347. The reversal of 6728337 is 7338276.

It is an interprime number because it is at equal distance from previous prime (6728327) and next prime (6728347).

It is not a de Polignac number, because 6728337 - 2⁴ = 6728321 is a prime.

It is not an unprimeable number, because it can be changed into a prime (6728327) 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 71 ways as a sum of consecutive naturals, for example, 92133 + ... + 92205.

It is an arithmetic number, because the mean of its divisors is an integer number (182780).

Almost surely, 2^6728337 is an apocalyptic number.

It is an amenable number.

6728337 is a deficient number, since it is larger than the sum of its proper divisors (6431823).

6728337 is a wasteful number, since it uses less digits than its factorization.

6728337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 113 counting only the distinct ones).

The product of its digits is 42336, while the sum is 36.

The square root of 6728337 is about 2593.9038147163. The cubic root of 6728337 is about 188.7857654840.

It can be divided in two parts, 672 and 8337, that added together give a palindrome (9009).

The spelling of 6728337 in words is "six million, seven hundred twenty-eight thousand, three hundred thirty-seven".