126772 has 12 divisors (see below), whose sum is σ = 227556. Its totient is φ = 61760.

The previous prime is 126761. The next prime is 126781. The reversal of 126772 is 277621.

126772 is nontrivially palindromic in base 11.

It can be written as a sum of positive squares in 2 ways, for example, as 7056 + 119716 = 84^2 + 346^2 .

It is a super-2 number, since 2×126772² = 32142279968, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

126772 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 in 3 ways as a sum of consecutive naturals, for example, 223 + ... + 550.

It is an arithmetic number, because the mean of its divisors is an integer number (18963).

2¹²⁶⁷⁷² is an apocalyptic number.

It is an amenable number.

126772 is a deficient number, since it is larger than the sum of its proper divisors (100784).

126772 is a wasteful number, since it uses less digits than its factorization.

126772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818 (or 816 counting only the distinct ones).

The product of its digits is 1176, while the sum is 25.

The square root of 126772 is about 356.0505582077. The cubic root of 126772 is about 50.2351589382.

It can be divided in two parts, 126 and 772, that added together give a palindrome (898).

The spelling of 126772 in words is "one hundred twenty-six thousand, seven hundred seventy-two".