127729 has 8 divisors (see below), whose sum is σ = 148608. Its totient is φ = 107520.

The previous prime is 127727. The next prime is 127733. The reversal of 127729 is 927721.

It is a happy number.

127729 is nontrivially palindromic in base 16.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 127729 - 2¹ = 127727 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 127697 and 127706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127727) 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 in 7 ways as a sum of consecutive naturals, for example, 369 + ... + 625.

It is an arithmetic number, because the mean of its divisors is an integer number (18576).

2¹²⁷⁷²⁹ is an apocalyptic number.

It is an amenable number.

127729 is a deficient number, since it is larger than the sum of its proper divisors (20879).

127729 is an equidigital number, since it uses as much as digits as its factorization.

127729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335.

The product of its digits is 1764, while the sum is 28.

The square root of 127729 is about 357.3919417111. The cubic root of 127729 is about 50.3612503446.

It can be divided in two parts, 1 and 27729, that added together give a triangular number (27730 = T₂₃₅).

The spelling of 127729 in words is "one hundred twenty-seven thousand, seven hundred twenty-nine".