127171072 has 120 divisors (see below), whose sum is σ = 305782884. Its totient is φ = 52641792.

The previous prime is 127171039. The next prime is 127171073. The reversal of 127171072 is 270171721.

It can be written as a sum of positive squares in 2 ways, for example, as 118026496 + 9144576 = 10864^2 + 3024^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 127171072.

It is not an unprimeable number, because it can be changed into a prime (127171073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 928188 + ... + 928324.

Almost surely, 2^127171072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127171072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152891442).

127171072 is an abundant number, since it is smaller than the sum of its proper divisors (178611812).

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

127171072 is an equidigital number, since it uses as much as digits as its factorization.

127171072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 1372, while the sum is 28.

The square root of 127171072 is about 11277.0152079351. The cubic root of 127171072 is about 502.8781632299.

The spelling of 127171072 in words is "one hundred twenty-seven million, one hundred seventy-one thousand, seventy-two".