126720720 has 480 divisors, whose sum is σ = 548179200. Its totient is φ = 26320896.

The previous prime is 126720719. The next prime is 126720739. The reversal of 126720720 is 27027621.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4369666 + ... + 4369694.

It is an arithmetic number, because the mean of its divisors is an integer number (1142040).

Almost surely, 2^126720720 is an apocalyptic number.

126720720 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 126720720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274089600).

126720720 is an abundant number, since it is smaller than the sum of its proper divisors (421458480).

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

126720720 is a wasteful number, since it uses less digits than its factorization.

126720720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 63 counting only the distinct ones).

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

The square root of 126720720 is about 11257.0298036383. The cubic root of 126720720 is about 502.2838455491.

The spelling of 126720720 in words is "one hundred twenty-six million, seven hundred twenty thousand, seven hundred twenty".