43248 has 40 divisors (see below), whose sum is σ = 120528. Its totient is φ = 13312.

The previous prime is 43237. The next prime is 43261. The reversal of 43248 is 84234.

It is a happy number.

43248 is nontrivially palindromic in base 7.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

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

It is an Ulam number.

It is a nialpdrome in base 15.

It is a zygodrome in base 15.

It is a congruent number.

It is an unprimeable number.

43248 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 790 + ... + 842.

2⁴³²⁴⁸ is an apocalyptic number.

43248 is a gapful number since it is divisible by the number (48) 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 43248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60264).

43248 is an abundant number, since it is smaller than the sum of its proper divisors (77280).

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

43248 is a wasteful number, since it uses less digits than its factorization.

43248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 75 counting only the distinct ones).

The product of its digits is 768, while the sum is 21.

The square root of 43248 is about 207.9615349049. The cubic root of 43248 is about 35.1012036827.

It can be divided in two parts, 432 and 48, that multiplied together give a 4-th power (20736 = 12⁴).

The spelling of 43248 in words is "forty-three thousand, two hundred forty-eight".