126070272 has 120 divisors (see below), whose sum is σ = 368648280. Its totient is φ = 41472000.

The previous prime is 126070271. The next prime is 126070303. The reversal of 126070272 is 272070621.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126070271) 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 11 ways as a sum of consecutive naturals, for example, 502147 + ... + 502397.

It is an arithmetic number, because the mean of its divisors is an integer number (3072069).

Almost surely, 2^126070272 is an apocalyptic number.

126070272 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 126070272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184324140).

126070272 is an abundant number, since it is smaller than the sum of its proper divisors (242578008).

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

126070272 is a wasteful number, since it uses less digits than its factorization.

126070272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 126070272 is about 11228.1018876745. The cubic root of 126070272 is about 501.4229757715.

The spelling of 126070272 in words is "one hundred twenty-six million, seventy thousand, two hundred seventy-two".