126935712 has 72 divisors (see below), whose sum is σ = 376687584. Its totient is φ = 40470144.

The previous prime is 126935687. The next prime is 126935729. The reversal of 126935712 is 217539621.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×126935712² = 32225349961893888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable 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 11 ways as a sum of consecutive naturals, for example, 2958 + ... + 16205.

It is an arithmetic number, because the mean of its divisors is an integer number (5231772).

Almost surely, 2^126935712 is an apocalyptic number.

126935712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126935712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188343792).

126935712 is an abundant number, since it is smaller than the sum of its proper divisors (249751872).

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

126935712 is a wasteful number, since it uses less digits than its factorization.

126935712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19202 (or 19191 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The square root of 126935712 is about 11266.5749897651. The cubic root of 126935712 is about 502.5677401809.

The spelling of 126935712 in words is "one hundred twenty-six million, nine hundred thirty-five thousand, seven hundred twelve".