127127072 has 48 divisors (see below), whose sum is σ = 266172480. Its totient is φ = 59634432.

The previous prime is 127127059. The next prime is 127127093. The reversal of 127127072 is 270721721.

It is a super-2 number, since 2×127127072² = 32322584870586368, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37379 + ... + 40637.

It is an arithmetic number, because the mean of its divisors is an integer number (5545260).

Almost surely, 2^127127072 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 127127072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133086240).

127127072 is an abundant number, since it is smaller than the sum of its proper divisors (139045408).

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

127127072 is a wasteful number, since it uses less digits than its factorization.

127127072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3345 (or 3337 counting only the distinct ones).

The product of its (nonzero) digits is 2744, while the sum is 29.

The square root of 127127072 is about 11275.0641683318. The cubic root of 127127072 is about 502.8201594948.

Adding to 127127072 its reverse (270721721), we get a palindrome (397848793).

The spelling of 127127072 in words is "one hundred twenty-seven million, one hundred twenty-seven thousand, seventy-two".