727261 has 2 divisors, whose sum is σ = 727262. Its totient is φ = 727260.

The previous prime is 727249. The next prime is 727267. The reversal of 727261 is 162727.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 722500 + 4761 = 850^2 + 69^2 .

It is an emirp because it is prime and its reverse (162727) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 727261 - 2¹⁹ = 202973 is a prime.

727261 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (727267) 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 as a sum of consecutive naturals, namely, 363630 + 363631.

It is an arithmetic number, because the mean of its divisors is an integer number (363631).

2⁷²⁷²⁶¹ is an apocalyptic number.

It is an amenable number.

727261 is a deficient number, since it is larger than the sum of its proper divisors (1).

727261 is an equidigital number, since it uses as much as digits as its factorization.

727261 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1176, while the sum is 25.

The square root of 727261 is about 852.7959896716. The cubic root of 727261 is about 89.9283792343.

Adding to 727261 its reverse (162727), we get a palindrome (889988).

It can be divided in two parts, 72726 and 1, that added together give a palindrome (72727).

The spelling of 727261 in words is "seven hundred twenty-seven thousand, two hundred sixty-one".