727568 has 20 divisors (see below), whose sum is σ = 1448940. Its totient is φ = 353664.

The previous prime is 727561. The next prime is 727577. The reversal of 727568 is 865727.

It can be written as a sum of positive squares in 2 ways, for example, as 692224 + 35344 = 832^2 + 188^2 .

It is an Ulam number.

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (727561) by changing a digit.

727568 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 23 + ... + 1206.

It is an arithmetic number, because the mean of its divisors is an integer number (72447).

2⁷²⁷⁵⁶⁸ is an apocalyptic number.

It is an amenable number.

727568 is a deficient number, since it is larger than the sum of its proper divisors (721372).

727568 is a wasteful number, since it uses less digits than its factorization.

727568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1274 (or 1268 counting only the distinct ones).

The product of its digits is 23520, while the sum is 35.

The square root of 727568 is about 852.9759668361. The cubic root of 727568 is about 89.9410313306.

The spelling of 727568 in words is "seven hundred twenty-seven thousand, five hundred sixty-eight".