127715168 has 72 divisors (see below), whose sum is σ = 298886112. Its totient is φ = 53539584.

The previous prime is 127715153. The next prime is 127715173. The reversal of 127715168 is 861517721.

It is a happy number.

It is a super-2 number, since 2×127715168² = 32622328274536448, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 72830 + ... + 74562.

It is an arithmetic number, because the mean of its divisors is an integer number (4151196).

Almost surely, 2^127715168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127715168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149443056).

127715168 is an abundant number, since it is smaller than the sum of its proper divisors (171170944).

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

127715168 is a wasteful number, since it uses less digits than its factorization.

127715168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1804 (or 1789 counting only the distinct ones).

The product of its digits is 23520, while the sum is 38.

The square root of 127715168 is about 11301.1135734493. The cubic root of 127715168 is about 503.5943237592.

The spelling of 127715168 in words is "one hundred twenty-seven million, seven hundred fifteen thousand, one hundred sixty-eight".