74216400 has 120 divisors (see below), whose sum is σ = 248168640. Its totient is φ = 18923520.

The previous prime is 74216393. The next prime is 74216411. The reversal of 74216400 is 461247.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26256 + ... + 28944.

It is an arithmetic number, because the mean of its divisors is an integer number (2068072).

Almost surely, 2^74216400 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 74216400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124084320).

74216400 is an abundant number, since it is smaller than the sum of its proper divisors (173952240).

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

74216400 is a wasteful number, since it uses less digits than its factorization.

74216400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2733 (or 2722 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 74216400 is about 8614.8940794417. The cubic root of 74216400 is about 420.2424903548.

Adding to 74216400 its reverse (461247), we get a palindrome (74677647).

The spelling of 74216400 in words is "seventy-four million, two hundred sixteen thousand, four hundred".