74448 has 60 divisors (see below), whose sum is σ = 232128. Its totient is φ = 22080.

The previous prime is 74441. The next prime is 74449. The reversal of 74448 is 84447.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74441) by changing a digit.

74448 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 11 ways as a sum of consecutive naturals, for example, 1561 + ... + 1607.

2⁷⁴⁴⁴⁸ 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 74448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116064).

74448 is an abundant number, since it is smaller than the sum of its proper divisors (157680).

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

74448 is a wasteful number, since it uses less digits than its factorization.

74448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 63 counting only the distinct ones).

The product of its digits is 3584, while the sum is 27.

The square root of 74448 is about 272.8516080216. The cubic root of 74448 is about 42.0679173240.

Subtracting 74448 from its reverse (84447), we obtain a palindrome (9999).

The spelling of 74448 in words is "seventy-four thousand, four hundred forty-eight".