74368 has 32 divisors (see below), whose sum is σ = 171360. Its totient is φ = 31488.

The previous prime is 74363. The next prime is 74377. The reversal of 74368 is 86347.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (74363) by changing a digit.

74368 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 3 ways as a sum of consecutive naturals, for example, 855 + ... + 937.

It is an arithmetic number, because the mean of its divisors is an integer number (5355).

2⁷⁴³⁶⁸ 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 74368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85680).

74368 is an abundant number, since it is smaller than the sum of its proper divisors (96992).

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

74368 is an equidigital number, since it uses as much as digits as its factorization.

74368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 92 counting only the distinct ones).

The product of its digits is 4032, while the sum is 28.

The square root of 74368 is about 272.7049687849. The cubic root of 74368 is about 42.0528435384.

Adding to 74368 its product of digits (4032), we get a square (78400 = 280²).

The spelling of 74368 in words is "seventy-four thousand, three hundred sixty-eight".