126075872 has 48 divisors (see below), whose sum is σ = 274563072. Its totient is φ = 56609280.

The previous prime is 126075869. The next prime is 126075881. The reversal of 126075872 is 278570621.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11297 + ... + 19487.

It is an arithmetic number, because the mean of its divisors is an integer number (5720064).

Almost surely, 2^126075872 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 126075872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137281536).

126075872 is an abundant number, since it is smaller than the sum of its proper divisors (148487200).

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

126075872 is a wasteful number, since it uses less digits than its factorization.

126075872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8251 (or 8243 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 38.

The square root of 126075872 is about 11228.3512592010. The cubic root of 126075872 is about 501.4304000094.

The spelling of 126075872 in words is "one hundred twenty-six million, seventy-five thousand, eight hundred seventy-two".