127696752 has 60 divisors (see below), whose sum is σ = 358898904. Its totient is φ = 42384000.

The previous prime is 127696733. The next prime is 127696763. The reversal of 127696752 is 257696721.

It is a junction number, because it is equal to n+sod(n) for n = 127696698 and 127696707.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 34378 + ... + 37910.

Almost surely, 2^127696752 is an apocalyptic number.

127696752 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 127696752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179449452).

127696752 is an abundant number, since it is smaller than the sum of its proper divisors (231202152).

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

127696752 is a wasteful number, since it uses less digits than its factorization.

127696752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3798 (or 3789 counting only the distinct ones).

The product of its digits is 317520, while the sum is 45.

The square root of 127696752 is about 11300.2987571126. The cubic root of 127696752 is about 503.5701171882.

The spelling of 127696752 in words is "one hundred twenty-seven million, six hundred ninety-six thousand, seven hundred fifty-two".