74066400 has 252 divisors, whose sum is σ = 273232512. Its totient is φ = 19595520.

The previous prime is 74066393. The next prime is 74066401. The reversal of 74066400 is 466047.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74066401) 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 41 ways as a sum of consecutive naturals, for example, 583137 + ... + 583263.

It is an arithmetic number, because the mean of its divisors is an integer number (1084256).

Almost surely, 2^74066400 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 74066400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136616256).

74066400 is an abundant number, since it is smaller than the sum of its proper divisors (199166112).

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

74066400 is a wasteful number, since it uses less digits than its factorization.

74066400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 74066400 is about 8606.1838232750. The cubic root of 74066400 is about 419.9591797062.

The spelling of 74066400 in words is "seventy-four million, sixty-six thousand, four hundred".