727667 has 2 divisors, whose sum is σ = 727668. Its totient is φ = 727666.

The previous prime is 727633. The next prime is 727673. The reversal of 727667 is 766727.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 727667 - 2¹⁸ = 465523 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 727667.

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, 363833 + 363834.

It is an arithmetic number, because the mean of its divisors is an integer number (363834).

2⁷²⁷⁶⁶⁷ is an apocalyptic number.

727667 is a deficient number, since it is larger than the sum of its proper divisors (1).

727667 is an equidigital number, since it uses as much as digits as its factorization.

727667 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 24696, while the sum is 35.

The square root of 727667 is about 853.0339969778. The cubic root of 727667 is about 89.9451105636.

Subtracting 727667 from its reverse (766727), we obtain a triangular number (39060 = T₂₇₉).

The spelling of 727667 in words is "seven hundred twenty-seven thousand, six hundred sixty-seven".