74221200 has 180 divisors, whose sum is σ = 263102580. Its totient is φ = 19368960.

The previous prime is 74221177. The next prime is 74221219. The reversal of 74221200 is 212247.

It can be written as a sum of positive squares in 6 ways, for example, as 2039184 + 72182016 = 1428^2 + 8496^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 190606 + ... + 190994.

It is an arithmetic number, because the mean of its divisors is an integer number (1461681).

Almost surely, 2^74221200 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 74221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131551290).

74221200 is an abundant number, since it is smaller than the sum of its proper divisors (188881380).

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

74221200 is a wasteful number, since it uses less digits than its factorization.

74221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 74221200 is about 8615.1726622280. The cubic root of 74221200 is about 420.2515499897.

Adding to 74221200 its reverse (212247), we get a palindrome (74433447).

The spelling of 74221200 in words is "seventy-four million, two hundred twenty-one thousand, two hundred".