127872976 has 80 divisors (see below), whose sum is σ = 310837248. Its totient is φ = 49507200.

The previous prime is 127872971. The next prime is 127872989. The reversal of 127872976 is 679278721.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127872971) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 333681 + ... + 334063.

Almost surely, 2^127872976 is an apocalyptic number.

127872976 is a gapful number since it is divisible by the number (16) 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 127872976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155418624).

127872976 is an abundant number, since it is smaller than the sum of its proper divisors (182964272).

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

127872976 is a wasteful number, since it uses less digits than its factorization.

127872976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680 (or 674 counting only the distinct ones).

The product of its digits is 592704, while the sum is 49.

The square root of 127872976 is about 11308.0933848284. The cubic root of 127872976 is about 503.8016562281.

The spelling of 127872976 in words is "one hundred twenty-seven million, eight hundred seventy-two thousand, nine hundred seventy-six".