127717216 has 48 divisors (see below), whose sum is σ = 275970240. Its totient is φ = 57700480.

The previous prime is 127717201. The next prime is 127717217. The reversal of 127717216 is 612717721.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127717217) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61995 + ... + 64021.

It is an arithmetic number, because the mean of its divisors is an integer number (5749380).

Almost surely, 2^127717216 is an apocalyptic number.

127717216 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 127717216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137985120).

127717216 is an abundant number, since it is smaller than the sum of its proper divisors (148253024).

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

127717216 is a wasteful number, since it uses less digits than its factorization.

127717216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2227 (or 2219 counting only the distinct ones).

The product of its digits is 8232, while the sum is 34.

The square root of 127717216 is about 11301.2041836257. The cubic root of 127717216 is about 503.5970155712.

The spelling of 127717216 in words is "one hundred twenty-seven million, seven hundred seventeen thousand, two hundred sixteen".