74568 has 32 divisors (see below), whose sum is σ = 201600. Its totient is φ = 22848.

The previous prime is 74567. The next prime is 74573. The reversal of 74568 is 86547.

It is a happy number.

It is an Ulam number.

It is a plaindrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (74561) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 193 + ... + 431.

It is an arithmetic number, because the mean of its divisors is an integer number (6300).

2⁷⁴⁵⁶⁸ is an apocalyptic number.

74568 is a gapful number since it is divisible by the number (78) 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 74568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100800).

74568 is an abundant number, since it is smaller than the sum of its proper divisors (127032).

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

74568 is a wasteful number, since it uses less digits than its factorization.

74568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 257 counting only the distinct ones).

The product of its digits is 6720, while the sum is 30.

The square root of 74568 is about 273.0714192295. The cubic root of 74568 is about 42.0905077683.

The spelling of 74568 in words is "seventy-four thousand, five hundred sixty-eight".