74113300 has 54 divisors (see below), whose sum is σ = 169818558. Its totient is φ = 28071360.

The previous prime is 74113253. The next prime is 74113307. The reversal of 74113300 is 331147.

It can be written as a sum of positive squares in 3 ways, for example, as 4857616 + 69255684 = 2204^2 + 8322^2 .

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74113307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 35074 + ... + 37126.

Almost surely, 2^74113300 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 74113300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84909279).

74113300 is an abundant number, since it is smaller than the sum of its proper divisors (95705258).

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

74113300 is a wasteful number, since it uses less digits than its factorization.

74113300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2105 (or 2079 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 19.

The square root of 74113300 is about 8608.9081769990. The cubic root of 74113300 is about 420.0478025712.

Adding to 74113300 its reverse (331147), we get a palindrome (74444447).

It can be divided in two parts, 741 and 13300, that added together give a palindrome (14041).

The spelling of 74113300 in words is "seventy-four million, one hundred thirteen thousand, three hundred".