126072912 has 80 divisors (see below), whose sum is σ = 382312832. Its totient is φ = 35043840.

The previous prime is 126072907. The next prime is 126072917. The reversal of 126072912 is 219270621.

It is an interprime number because it is at equal distance from previous prime (126072907) and next prime (126072917).

It is a self number, because there is not a number n which added to its sum of digits gives 126072912.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126072917) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7362 + ... + 17502.

Almost surely, 2^126072912 is an apocalyptic number.

126072912 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 126072912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191156416).

126072912 is an abundant number, since it is smaller than the sum of its proper divisors (256239920).

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

126072912 is a wasteful number, since it uses less digits than its factorization.

126072912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10196 (or 10190 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 126072912 is about 11228.2194492270. The cubic root of 126072912 is about 501.4264757967.

The spelling of 126072912 in words is "one hundred twenty-six million, seventy-two thousand, nine hundred twelve".