126728 has 32 divisors (see below), whose sum is σ = 284160. Its totient is φ = 51840.

The previous prime is 126719. The next prime is 126733. The reversal of 126728 is 827621.

It is a junction number, because it is equal to n+sod(n) for n = 126697 and 126706.

It is an unprimeable number.

126728 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1700 + ... + 1772.

It is an arithmetic number, because the mean of its divisors is an integer number (8880).

2¹²⁶⁷²⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142080).

126728 is an abundant number, since it is smaller than the sum of its proper divisors (157432).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

126728 is a wasteful number, since it uses less digits than its factorization.

126728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 113 counting only the distinct ones).

The product of its digits is 1344, while the sum is 26.

The square root of 126728 is about 355.9887638676. The cubic root of 126728 is about 50.2293463961.

The spelling of 126728 in words is "one hundred twenty-six thousand, seven hundred twenty-eight".