74048 has 28 divisors (see below), whose sum is σ = 160020. Its totient is φ = 33792.

The previous prime is 74047. The next prime is 74051. The reversal of 74048 is 84047.

It can be written as a sum of positive squares in 2 ways, for example, as 12544 + 61504 = 112^2 + 248^2 .

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74047) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 788 + ... + 876.

It is an arithmetic number, because the mean of its divisors is an integer number (5715).

2⁷⁴⁰⁴⁸ 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 74048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80010).

74048 is an abundant number, since it is smaller than the sum of its proper divisors (85972).

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

74048 is a wasteful number, since it uses less digits than its factorization.

74048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 23.

The square root of 74048 is about 272.1176216271. The cubic root of 74048 is about 41.9924400603.

Subtracting 74048 from its reverse (84047), we obtain a palindrome (9999).

The spelling of 74048 in words is "seventy-four thousand, forty-eight".