74245600 has 216 divisors, whose sum is σ = 218189160. Its totient is φ = 24499200.

The previous prime is 74245553. The next prime is 74245609. The reversal of 74245600 is 654247.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74245609) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 1258371 + ... + 1258429.

It is an arithmetic number, because the mean of its divisors is an integer number (1010135).

Almost surely, 2^74245600 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 74245600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109094580).

74245600 is an abundant number, since it is smaller than the sum of its proper divisors (143943560).

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

74245600 is a wasteful number, since it uses less digits than its factorization.

74245600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The square root of 74245600 is about 8616.5886521291. The cubic root of 74245600 is about 420.2975970955.

Adding to 74245600 its reverse (654247), we get a palindrome (74899847).

The spelling of 74245600 in words is "seventy-four million, two hundred forty-five thousand, six hundred".