126282720 has 48 divisors (see below), whose sum is σ = 397792080. Its totient is φ = 33675264.

The previous prime is 126282703. The next prime is 126282727. The reversal of 126282720 is 27282621.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126282727) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 131065 + ... + 132024.

It is an arithmetic number, because the mean of its divisors is an integer number (8287335).

Almost surely, 2^126282720 is an apocalyptic number.

126282720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126282720 is an abundant number, since it is smaller than the sum of its proper divisors (271509360).

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

126282720 is a wasteful number, since it uses less digits than its factorization.

126282720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263107 (or 263099 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 126282720 is about 11237.5584536856. The cubic root of 126282720 is about 501.7044762522.

Subtracting from 126282720 its reverse (27282621), we obtain a palindrome (99000099).

The spelling of 126282720 in words is "one hundred twenty-six million, two hundred eighty-two thousand, seven hundred twenty".