727705201 has 2 divisors, whose sum is σ = 727705202. Its totient is φ = 727705200.

The previous prime is 727705177. The next prime is 727705241. The reversal of 727705201 is 102507727.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 727704576 + 625 = 26976^2 + 25^2 .

It is a cyclic number.

It is not a de Polignac number, because 727705201 - 2⁹ = 727704689 is a prime.

It is a super-3 number, since 3×727705201³ (a number of 28 digits) contains 333 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (727705241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 363852600 + 363852601.

It is an arithmetic number, because the mean of its divisors is an integer number (363852601).

Almost surely, 2^727705201 is an apocalyptic number.

It is an amenable number.

727705201 is a deficient number, since it is larger than the sum of its proper divisors (1).

727705201 is an equidigital number, since it uses as much as digits as its factorization.

727705201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6860, while the sum is 31.

The square root of 727705201 is about 26976.0115843688. The cubic root of 727705201 is about 899.4668451298.

The spelling of 727705201 in words is "seven hundred twenty-seven million, seven hundred five thousand, two hundred one".