126113072 has 40 divisors (see below), whose sum is σ = 262036800. Its totient is φ = 58586112.

The previous prime is 126113069. The next prime is 126113077. The reversal of 126113072 is 270311621.

It is not an unprimeable number, because it can be changed into a prime (126113077) 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, 18554 + ... + 24422.

It is an arithmetic number, because the mean of its divisors is an integer number (6550920).

Almost surely, 2^126113072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126113072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131018400).

126113072 is an abundant number, since it is smaller than the sum of its proper divisors (135923728).

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

126113072 is a wasteful number, since it uses less digits than its factorization.

126113072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5973 (or 5967 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 23.

The square root of 126113072 is about 11230.0076580562. The cubic root of 126113072 is about 501.4797125815.

Adding to 126113072 its reverse (270311621), we get a palindrome (396424693).

The spelling of 126113072 in words is "one hundred twenty-six million, one hundred thirteen thousand, seventy-two".