127822272 has 112 divisors (see below), whose sum is σ = 366003840. Its totient is φ = 39232512.

The previous prime is 127822249. The next prime is 127822361. The reversal of 127822272 is 272228721.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 134503 + ... + 135449.

Almost surely, 2^127822272 is an apocalyptic number.

127822272 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 127822272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183001920).

127822272 is an abundant number, since it is smaller than the sum of its proper divisors (238181568).

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

127822272 is a wasteful number, since it uses less digits than its factorization.

127822272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1018 (or 1008 counting only the distinct ones).

The product of its digits is 12544, while the sum is 33.

The square root of 127822272 is about 11305.8512284569. The cubic root of 127822272 is about 503.7350585334.

The spelling of 127822272 in words is "one hundred twenty-seven million, eight hundred twenty-two thousand, two hundred seventy-two".