727967 has 4 divisors (see below), whose sum is σ = 733656. Its totient is φ = 722280.

The previous prime is 727949. The next prime is 727981. The reversal of 727967 is 769727.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 769727 = 7 ⋅109961.

It is a cyclic number.

It is not a de Polignac number, because 727967 - 2⁸ = 727711 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 727967.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (727997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2648 + ... + 2909.

It is an arithmetic number, because the mean of its divisors is an integer number (183414).

2⁷²⁷⁹⁶⁷ is an apocalyptic number.

727967 is a deficient number, since it is larger than the sum of its proper divisors (5689).

727967 is a wasteful number, since it uses less digits than its factorization.

727967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5688.

The product of its digits is 37044, while the sum is 38.

The square root of 727967 is about 853.2098217906. The cubic root of 727967 is about 89.9574696170.

The spelling of 727967 in words is "seven hundred twenty-seven thousand, nine hundred sixty-seven".