126371072 has 36 divisors (see below), whose sum is σ = 254018100. Its totient is φ = 62742528.

The previous prime is 126371059. The next prime is 126371083. The reversal of 126371072 is 270173621.

It can be written as a sum of positive squares in 2 ways, for example, as 67634176 + 58736896 = 8224^2 + 7664^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 36488 + ... + 39800.

Almost surely, 2^126371072 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 126371072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127009050).

126371072 is an abundant number, since it is smaller than the sum of its proper divisors (127647028).

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

126371072 is an equidigital number, since it uses as much as digits as its factorization.

126371072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3478 (or 3464 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 29.

The square root of 126371072 is about 11241.4888693625. The cubic root of 126371072 is about 501.8214525638.

The spelling of 126371072 in words is "one hundred twenty-six million, three hundred seventy-one thousand, seventy-two".