127344 has 40 divisors (see below), whose sum is σ = 376960. Its totient is φ = 36288.

The previous prime is 127343. The next prime is 127363. The reversal of 127344 is 443721.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 127344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127343) 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, 147 + ... + 525.

It is an arithmetic number, because the mean of its divisors is an integer number (9424).

2¹²⁷³⁴⁴ is an apocalyptic number.

127344 is a gapful number since it is divisible by the number (14) 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 127344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188480).

127344 is an abundant number, since it is smaller than the sum of its proper divisors (249616).

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

127344 is a wasteful number, since it uses less digits than its factorization.

127344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 391 counting only the distinct ones).

The product of its digits is 672, while the sum is 21.

The square root of 127344 is about 356.8529108751. The cubic root of 127344 is about 50.3105998922.

The spelling of 127344 in words is "one hundred twenty-seven thousand, three hundred forty-four", and thus it is an iban number.