74400 has 72 divisors (see below), whose sum is σ = 249984. Its totient is φ = 19200.

The previous prime is 74383. The next prime is 74411. The reversal of 74400 is 447.

74400 is nontrivially palindromic in base 7.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a nialpdrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 74400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2385 + ... + 2415.

It is an arithmetic number, because the mean of its divisors is an integer number (3472).

2⁷⁴⁴⁰⁰ 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 74400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124992).

74400 is an abundant number, since it is smaller than the sum of its proper divisors (175584).

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

74400 is a wasteful number, since it uses less digits than its factorization.

74400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 15.

The square root of 74400 is about 272.7636339397. The cubic root of 74400 is about 42.0588743492.

Adding to 74400 its reverse (447), we get a palindrome (74847).

It can be divided in two parts, 74 and 400, that added together give a palindrome (474).

The spelling of 74400 in words is "seventy-four thousand, four hundred", and thus it is an iban number.