126272 has 14 divisors (see below), whose sum is σ = 250698. Its totient is φ = 63104.

The previous prime is 126271. The next prime is 126307. The reversal of 126272 is 272621.

It can be written as a sum of positive squares in only one way, i.e., 92416 + 33856 = 304^2 + 184^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126271) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 923 + ... + 1050.

It is an arithmetic number, because the mean of its divisors is an integer number (17907).

2¹²⁶²⁷² is an apocalyptic number.

It is an amenable number.

126272 is a deficient number, since it is larger than the sum of its proper divisors (124426).

126272 is an equidigital number, since it uses as much as digits as its factorization.

126272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1985 (or 1975 counting only the distinct ones).

The product of its digits is 336, while the sum is 20.

The square root of 126272 is about 355.3477170322. The cubic root of 126272 is about 50.1690279472.

Adding to 126272 its reverse (272621), we get a palindrome (398893).

The spelling of 126272 in words is "one hundred twenty-six thousand, two hundred seventy-two".