126729 has 6 divisors (see below), whose sum is σ = 183066. Its totient is φ = 84480.

The previous prime is 126719. The next prime is 126733. The reversal of 126729 is 927621.

It can be written as a sum of positive squares in only one way, i.e., 121104 + 5625 = 348^2 + 75^2 .

It is not a de Polignac number, because 126729 - 2⁴ = 126713 is a prime.

126729 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (126719) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7032 + ... + 7049.

It is an arithmetic number, because the mean of its divisors is an integer number (30511).

2¹²⁶⁷²⁹ is an apocalyptic number.

It is an amenable number.

126729 is a deficient number, since it is larger than the sum of its proper divisors (56337).

126729 is a wasteful number, since it uses less digits than its factorization.

126729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14087 (or 14084 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

The square root of 126729 is about 355.9901684036. The cubic root of 126729 is about 50.2294785143.

Adding to 126729 its sum of digits (27), we get a triangular number (126756 = T₅₀₃).

It can be divided in two parts, 1267 and 29, that added together give a 4-th power (1296 = 6⁴).

The spelling of 126729 in words is "one hundred twenty-six thousand, seven hundred twenty-nine".