74381200 has 60 divisors (see below), whose sum is σ = 188125360. Its totient is φ = 28183680.

The previous prime is 74381191. The next prime is 74381221. The reversal of 74381200 is 218347.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2707 + ... + 12493.

Almost surely, 2^74381200 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 74381200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94062680).

74381200 is an abundant number, since it is smaller than the sum of its proper divisors (113744160).

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

74381200 is a wasteful number, since it uses less digits than its factorization.

74381200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9824 (or 9813 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 74381200 is about 8624.4536058814. The cubic root of 74381200 is about 420.5533145744.

Adding to 74381200 its reverse (218347), we get a palindrome (74599547).

The spelling of 74381200 in words is "seventy-four million, three hundred eighty-one thousand, two hundred".