128727 has 6 divisors (see below), whose sum is σ = 185952. Its totient is φ = 85812.

The previous prime is 128717. The next prime is 128747. The reversal of 128727 is 727821.

It is not a de Polignac number, because 128727 - 2⁶ = 128663 is a prime.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 128727.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 128727.

It is not an unprimeable number, because it can be changed into a prime (128717) 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 5 ways as a sum of consecutive naturals, for example, 7143 + ... + 7160.

It is an arithmetic number, because the mean of its divisors is an integer number (30992).

2¹²⁸⁷²⁷ is an apocalyptic number.

128727 is a deficient number, since it is larger than the sum of its proper divisors (57225).

128727 is a wasteful number, since it uses less digits than its factorization.

128727 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14309 (or 14306 counting only the distinct ones).

The product of its digits is 1568, while the sum is 27.

The square root of 128727 is about 358.7854512101. The cubic root of 128727 is about 50.4920746966.

The spelling of 128727 in words is "one hundred twenty-eight thousand, seven hundred twenty-seven".