126872 has 8 divisors (see below), whose sum is σ = 237900. Its totient is φ = 63432.

The previous prime is 126859. The next prime is 126913. The reversal of 126872 is 278621.

It is a tau number, because it is divible by the number of its divisors (8).

It is an Ulam number.

It is a d-powerful number, because it can be written as 1 + 2⁹ + 8³ + 6 + 7⁶ + 2¹³ .

It is a congruent number.

It is an unprimeable number.

126872 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 as a sum of consecutive naturals, namely, 7922 + ... + 7937.

2¹²⁶⁸⁷² is an apocalyptic number.

It is an amenable number.

126872 is a deficient number, since it is larger than the sum of its proper divisors (111028).

126872 is a wasteful number, since it uses less digits than its factorization.

126872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15865 (or 15861 counting only the distinct ones).

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

The square root of 126872 is about 356.1909600200. The cubic root of 126872 is about 50.2483642612.

The spelling of 126872 in words is "one hundred twenty-six thousand, eight hundred seventy-two".