127312 has 20 divisors (see below), whose sum is σ = 252340. Its totient is φ = 62208.

The previous prime is 127301. The next prime is 127321. The reversal of 127312 is 213721.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 80656 + 46656 = 284^2 + 216^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a plaindrome in base 14.

It is a congruent number.

It is an unprimeable number.

127312 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 3 ways as a sum of consecutive naturals, for example, 1114 + ... + 1222.

It is an arithmetic number, because the mean of its divisors is an integer number (12617).

2¹²⁷³¹² is an apocalyptic number.

It is an amenable number.

127312 is a deficient number, since it is larger than the sum of its proper divisors (125028).

127312 is a wasteful number, since it uses less digits than its factorization.

127312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 184 counting only the distinct ones).

The product of its digits is 84, while the sum is 16.

The square root of 127312 is about 356.8080716576. The cubic root of 127312 is about 50.3063853917.

The spelling of 127312 in words is "one hundred twenty-seven thousand, three hundred twelve", and thus it is an iban number.