126762 has 16 divisors (see below), whose sum is σ = 260832. Its totient is φ = 41040.

The previous prime is 126761. The next prime is 126781. The reversal of 126762 is 267621.

It is a happy number.

It is a d-powerful number, because it can be written as 1 + 2³ + 7⁶ + 6⁴ + 6⁵ + 2⁵ .

It is not an unprimeable number, because it can be changed into a prime (126761) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 64 + ... + 507.

It is an arithmetic number, because the mean of its divisors is an integer number (16302).

2¹²⁶⁷⁶² is an apocalyptic number.

126762 is an abundant number, since it is smaller than the sum of its proper divisors (134070).

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

126762 is a wasteful number, since it uses less digits than its factorization.

126762 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613.

The product of its digits is 1008, while the sum is 24.

The square root of 126762 is about 356.0365149813. The cubic root of 126762 is about 50.2338380241.

It can be divided in two parts, 12676 and 2, that multiplied together give a palindrome (25352).

The spelling of 126762 in words is "one hundred twenty-six thousand, seven hundred sixty-two".