127712172 has 96 divisors (see below), whose sum is σ = 356428800. Its totient is φ = 34820352.

The previous prime is 127712161. The next prime is 127712231. The reversal of 127712172 is 271217721.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 250654 + ... + 251162.

It is an arithmetic number, because the mean of its divisors is an integer number (3712800).

Almost surely, 2^127712172 is an apocalyptic number.

127712172 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 127712172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178214400).

127712172 is an abundant number, since it is smaller than the sum of its proper divisors (228716628).

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

127712172 is a wasteful number, since it uses less digits than its factorization.

127712172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655 (or 653 counting only the distinct ones).

The product of its digits is 2744, while the sum is 30.

The square root of 127712172 is about 11300.9810193629. The cubic root of 127712172 is about 503.5903858809.

Adding to 127712172 its reverse (271217721), we get a palindrome (398929893).

The spelling of 127712172 in words is "one hundred twenty-seven million, seven hundred twelve thousand, one hundred seventy-two".