74142800 has 60 divisors (see below), whose sum is σ = 185895840. Its totient is φ = 28364160.

The previous prime is 74142773. The next prime is 74142811. The reversal of 74142800 is 824147.

It is a self number, because there is not a number n which added to its sum of digits gives 74142800.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 5171 + ... + 13229.

It is an arithmetic number, because the mean of its divisors is an integer number (3098264).

Almost surely, 2^74142800 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 74142800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92947920).

74142800 is an abundant number, since it is smaller than the sum of its proper divisors (111753040).

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

74142800 is a wasteful number, since it uses less digits than its factorization.

74142800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8100 (or 8089 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 26.

The square root of 74142800 is about 8610.6213480794. The cubic root of 74142800 is about 420.1035270114.

Adding to 74142800 its reverse (824147), we get a palindrome (74966947).

The spelling of 74142800 in words is "seventy-four million, one hundred forty-two thousand, eight hundred".