127368 has 48 divisors (see below), whose sum is σ = 362700. Its totient is φ = 40320.

The previous prime is 127363. The next prime is 127373. The reversal of 127368 is 863721.

It is an interprime number because it is at equal distance from previous prime (127363) and next prime (127373).

It can be written as a sum of positive squares in 2 ways, for example, as 116964 + 10404 = 342^2 + 102^2 .

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (127363) by changing a digit.

127368 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2058 + ... + 2118.

2¹²⁷³⁶⁸ is an apocalyptic number.

127368 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 127368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181350).

127368 is an abundant number, since it is smaller than the sum of its proper divisors (235332).

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

127368 is a wasteful number, since it uses less digits than its factorization.

127368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 95 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 127368 is about 356.8865365911. The cubic root of 127368 is about 50.3137603043.

The spelling of 127368 in words is "one hundred twenty-seven thousand, three hundred sixty-eight".