126752 has 24 divisors (see below), whose sum is σ = 265356. Its totient is φ = 59392.

The previous prime is 126751. The next prime is 126757. The reversal of 126752 is 257621.

It can be written as a sum of positive squares in 2 ways, for example, as 126736 + 16 = 356^2 + 4^2 .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 126752.

It is not an unprimeable number, because it can be changed into a prime (126751) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 428 + ... + 660.

2¹²⁶⁷⁵² 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 126752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132678).

126752 is an abundant number, since it is smaller than the sum of its proper divisors (138604).

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

126752 is a wasteful number, since it uses less digits than its factorization.

126752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 252 counting only the distinct ones).

The product of its digits is 840, while the sum is 23.

The square root of 126752 is about 356.0224712009. The cubic root of 126752 is about 50.2325170404.

It can be divided in two parts, 126 and 752, that added together give a palindrome (878).

The spelling of 126752 in words is "one hundred twenty-six thousand, seven hundred fifty-two".