127142720 has 56 divisors (see below), whose sum is σ = 306470304. Its totient is φ = 50233856.

The previous prime is 127142671. The next prime is 127142747. The reversal of 127142720 is 27241721.

It is a self number, because there is not a number n which added to its sum of digits gives 127142720.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24167 + ... + 28953.

It is an arithmetic number, because the mean of its divisors is an integer number (5472684).

Almost surely, 2^127142720 is an apocalyptic number.

127142720 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 127142720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153235152).

127142720 is an abundant number, since it is smaller than the sum of its proper divisors (179327584).

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

127142720 is an equidigital number, since it uses as much as digits as its factorization.

127142720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4887 (or 4877 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 26.

The square root of 127142720 is about 11275.7580676423. The cubic root of 127142720 is about 502.8407892655.

Subtracting from 127142720 its reverse (27241721), we obtain a palindrome (99900999).

The spelling of 127142720 in words is "one hundred twenty-seven million, one hundred forty-two thousand, seven hundred twenty".