74868 has 24 divisors (see below), whose sum is σ = 185472. Its totient is φ = 23424.

The previous prime is 74861. The next prime is 74869. The reversal of 74868 is 86847.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74861) by changing a digit.

74868 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, 21 + ... + 387.

It is an arithmetic number, because the mean of its divisors is an integer number (7728).

2⁷⁴⁸⁶⁸ 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 74868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92736).

74868 is an abundant number, since it is smaller than the sum of its proper divisors (110604).

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

74868 is a wasteful number, since it uses less digits than its factorization.

74868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 389 counting only the distinct ones).

The product of its digits is 10752, while the sum is 33.

The square root of 74868 is about 273.6201746948. The cubic root of 74868 is about 42.1468780448.

The spelling of 74868 in words is "seventy-four thousand, eight hundred sixty-eight".