126729360 has 280 divisors, whose sum is σ = 461079864. Its totient is φ = 32348160.

The previous prime is 126729353. The next prime is 126729367. The reversal of 126729360 is 63927621.

It is an interprime number because it is at equal distance from previous prime (126729353) and next prime (126729367).

It can be written as a sum of positive squares in 4 ways, for example, as 2985984 + 123743376 = 1728^2 + 11124^2 .

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

It is not an unprimeable number, because it can be changed into a prime (126729367) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2391094 + ... + 2391146.

Almost surely, 2^126729360 is an apocalyptic number.

126729360 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 126729360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230539932).

126729360 is an abundant number, since it is smaller than the sum of its proper divisors (334350504).

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

126729360 is an equidigital number, since it uses as much as digits as its factorization.

126729360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 126729360 is about 11257.4135572964. The cubic root of 126729360 is about 502.2952607668.

The spelling of 126729360 in words is "one hundred twenty-six million, seven hundred twenty-nine thousand, three hundred sixty".