127166172 has 72 divisors (see below), whose sum is σ = 360210816. Its totient is φ = 34749792.

The previous prime is 127166167. The next prime is 127166173. The reversal of 127166172 is 271661721.

It is a super-2 number, since 2×127166172² = 32342470602267168, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127166173) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8823 + ... + 18225.

It is an arithmetic number, because the mean of its divisors is an integer number (5002928).

Almost surely, 2^127166172 is an apocalyptic number.

127166172 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 127166172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180105408).

127166172 is an abundant number, since it is smaller than the sum of its proper divisors (233044644).

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

127166172 is a wasteful number, since it uses less digits than its factorization.

127166172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9447 (or 9438 counting only the distinct ones).

The product of its digits is 7056, while the sum is 33.

The square root of 127166172 is about 11276.7979497728. The cubic root of 127166172 is about 502.8717043851.

The spelling of 127166172 in words is "one hundred twenty-seven million, one hundred sixty-six thousand, one hundred seventy-two".