127392768 has 132 divisors (see below), whose sum is σ = 384475728. Its totient is φ = 40550400.

The previous prime is 127392767. The next prime is 127392779. The reversal of 127392768 is 867293721.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127392763) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 211668 + ... + 212268.

Almost surely, 2^127392768 is an apocalyptic number.

127392768 is a gapful number since it is divisible by the number (18) 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 127392768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192237864).

127392768 is an abundant number, since it is smaller than the sum of its proper divisors (257082960).

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

127392768 is a wasteful number, since it uses less digits than its factorization.

127392768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 629 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The square root of 127392768 is about 11286.8404790712. The cubic root of 127392768 is about 503.1702143335.

The spelling of 127392768 in words is "one hundred twenty-seven million, three hundred ninety-two thousand, seven hundred sixty-eight".