74331600 has 120 divisors (see below), whose sum is σ = 272155200. Its totient is φ = 16988160.

The previous prime is 74331577. The next prime is 74331601. The reversal of 74331600 is 613347.

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 not an unprimeable number, because it can be changed into a prime (74331601) 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 23 ways as a sum of consecutive naturals, for example, 3976 + ... + 12824.

It is an arithmetic number, because the mean of its divisors is an integer number (2267960).

Almost surely, 2^74331600 is an apocalyptic number.

74331600 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74331600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136077600).

74331600 is an abundant number, since it is smaller than the sum of its proper divisors (197823600).

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

74331600 is a wasteful number, since it uses less digits than its factorization.

74331600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8877 (or 8866 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 24.

The square root of 74331600 is about 8621.5775818582. The cubic root of 74331600 is about 420.4598138747.

Adding to 74331600 its reverse (613347), we get a palindrome (74944947).

The spelling of 74331600 in words is "seventy-four million, three hundred thirty-one thousand, six hundred".