127927872 has 84 divisors (see below), whose sum is σ = 375694956. Its totient is φ = 41594880.

The previous prime is 127927867. The next prime is 127927879. The reversal of 127927872 is 278729721.

It can be written as a sum of positive squares in 2 ways, for example, as 8156736 + 119771136 = 2856^2 + 10944^2 .

It is not an unprimeable number, because it can be changed into a prime (127927879) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20908 + ... + 26324.

It is an arithmetic number, because the mean of its divisors is an integer number (4472559).

Almost surely, 2^127927872 is an apocalyptic number.

127927872 is a gapful number since it is divisible by the number (12) 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 127927872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187847478).

127927872 is an abundant number, since it is smaller than the sum of its proper divisors (247767084).

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

127927872 is a wasteful number, since it uses less digits than its factorization.

127927872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5476 (or 5463 counting only the distinct ones).

The product of its digits is 197568, while the sum is 45.

The square root of 127927872 is about 11310.5204124302. The cubic root of 127927872 is about 503.8737401035.

The spelling of 127927872 in words is "one hundred twenty-seven million, nine hundred twenty-seven thousand, eight hundred seventy-two".