72448 has 18 divisors (see below), whose sum is σ = 145124. Its totient is φ = 36096.

The previous prime is 72431. The next prime is 72461. The reversal of 72448 is 84427.

It is an unprimeable number.

72448 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 (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 115 + ... + 397.

2⁷²⁴⁴⁸ 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 72448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72562).

72448 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

72448 is an equidigital number, since it uses as much as digits as its factorization.

72448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 285 counting only the distinct ones).

The product of its digits is 1792, while the sum is 25.

The square root of 72448 is about 269.1616614602. The cubic root of 72448 is about 41.6877830743.

The spelling of 72448 in words is "seventy-two thousand, four hundred forty-eight".