127248 has 40 divisors (see below), whose sum is σ = 360096. Its totient is φ = 38400.

The previous prime is 127247. The next prime is 127249. The reversal of 127248 is 842721.

It is an interprime number because it is at equal distance from previous prime (127247) and next prime (127249).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (127241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 408 + ... + 648.

2¹²⁷²⁴⁸ 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 127248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180048).

127248 is an abundant number, since it is smaller than the sum of its proper divisors (232848).

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

127248 is a wasteful number, since it uses less digits than its factorization.

127248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 257 counting only the distinct ones).

The product of its digits is 896, while the sum is 24.

The square root of 127248 is about 356.7183763139. The cubic root of 127248 is about 50.2979542715.

Adding to 127248 its reverse (842721), we get a palindrome (969969).

It can be divided in two parts, 12 and 7248, that added together give a triangular number (7260 = T₁₂₀).

The spelling of 127248 in words is "one hundred twenty-seven thousand, two hundred forty-eight".