127916772 has 48 divisors (see below), whose sum is σ = 322019712. Its totient is φ = 39370240.

The previous prime is 127916771. The next prime is 127916773. The reversal of 127916772 is 277619721.

It is an interprime number because it is at equal distance from previous prime (127916771) and next prime (127916773).

It is not an unprimeable number, because it can be changed into a prime (127916771) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4897 + ... + 16727.

It is an arithmetic number, because the mean of its divisors is an integer number (6708744).

Almost surely, 2^127916772 is an apocalyptic number.

127916772 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 127916772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161009856).

127916772 is an abundant number, since it is smaller than the sum of its proper divisors (194102940).

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

127916772 is a wasteful number, since it uses less digits than its factorization.

127916772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11908 (or 11906 counting only the distinct ones).

The product of its digits is 74088, while the sum is 42.

The square root of 127916772 is about 11310.0297081838. The cubic root of 127916772 is about 503.8591663696.

The spelling of 127916772 in words is "one hundred twenty-seven million, nine hundred sixteen thousand, seven hundred seventy-two".