727646720 has 40 divisors (see below), whose sum is σ = 1744652844. Its totient is φ = 291057664.

The previous prime is 727646719. The next prime is 727646729. The reversal of 727646720 is 27646727.

It can be written as a sum of positive squares in 2 ways, for example, as 702886144 + 24760576 = 26512^2 + 4976^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (727646729) 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 3 ways as a sum of consecutive naturals, for example, 139559 + ... + 144678.

Almost surely, 2^727646720 is an apocalyptic number.

It is an amenable number.

727646720 is an abundant number, since it is smaller than the sum of its proper divisors (1017006124).

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

727646720 is an equidigital number, since it uses as much as digits as its factorization.

727646720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284260 (or 284244 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 41.

The square root of 727646720 is about 26974.9276180679. The cubic root of 727646720 is about 899.4427496904.

The spelling of 727646720 in words is "seven hundred twenty-seven million, six hundred forty-six thousand, seven hundred twenty".