74083200 has 96 divisors (see below), whose sum is σ = 244043160. Its totient is φ = 19752960.

The previous prime is 74083193. The next prime is 74083201. The reversal of 74083200 is 238047.

It is a tau number, because it is divible by the number of its divisors (96).

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 (74083201) 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 11 ways as a sum of consecutive naturals, for example, 5742 + ... + 13458.

Almost surely, 2^74083200 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 74083200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122021580).

74083200 is an abundant number, since it is smaller than the sum of its proper divisors (169959960).

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

74083200 is a wasteful number, since it uses less digits than its factorization.

74083200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7744 (or 7727 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 74083200 is about 8607.1598102975. The cubic root of 74083200 is about 419.9909295093.

The spelling of 74083200 in words is "seventy-four million, eighty-three thousand, two hundred".