6728625 has 24 divisors (see below), whose sum is σ = 12131496. Its totient is φ = 3588000.

The previous prime is 6728591. The next prime is 6728639. The reversal of 6728625 is 5268276.

6728625 is a `hidden beast` number, since 6 + 7 + 28 + 625 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1679616 + 5049009 = 1296^2 + 2247^2 .

It is not a de Polignac number, because 6728625 - 2⁸ = 6728369 is a prime.

6728625 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 6728625.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1866 + ... + 4115.

It is an arithmetic number, because the mean of its divisors is an integer number (505479).

Almost surely, 2^6728625 is an apocalyptic number.

It is an amenable number.

6728625 is a deficient number, since it is larger than the sum of its proper divisors (5402871).

6728625 is a wasteful number, since it uses less digits than its factorization.

6728625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6002 (or 5989 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 6728625 is about 2593.9593289024. The cubic root of 6728625 is about 188.7884590433.

The spelling of 6728625 in words is "six million, seven hundred twenty-eight thousand, six hundred twenty-five".