126725760 has 288 divisors, whose sum is σ = 510178500. Its totient is φ = 28901376.

The previous prime is 126725719. The next prime is 126725783. The reversal of 126725760 is 67527621.

126725760 is a `hidden beast` number, since 12 + 6 + 72 + 576 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 126697536 + 28224 = 11256^2 + 168^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 35 ways as a sum of consecutive naturals, for example, 282016 + ... + 282464.

Almost surely, 2^126725760 is an apocalyptic number.

126725760 is a gapful number since it is divisible by the number (10) 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 126725760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255089250).

126725760 is an abundant number, since it is smaller than the sum of its proper divisors (383452740).

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

126725760 is a wasteful number, since it uses less digits than its factorization.

126725760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 126725760 is about 11257.2536615286. The cubic root of 126725760 is about 502.2905044891.

The spelling of 126725760 in words is "one hundred twenty-six million, seven hundred twenty-five thousand, seven hundred sixty".