74332800 has 288 divisors, whose sum is σ = 277465500. Its totient is φ = 18923520.

The previous prime is 74332787. The next prime is 74332873. The reversal of 74332800 is 823347.

It can be written as a sum of positive squares in 6 ways, for example, as 16451136 + 57881664 = 4056^2 + 7608^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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 35 ways as a sum of consecutive naturals, for example, 835156 + ... + 835244.

Almost surely, 2^74332800 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 74332800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138732750).

74332800 is an abundant number, since it is smaller than the sum of its proper divisors (203132700).

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

74332800 is a wasteful number, since it uses less digits than its factorization.

74332800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 128 counting only the distinct ones).

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

The square root of 74332800 is about 8621.6471744093. The cubic root of 74332800 is about 420.4620764793.

The spelling of 74332800 in words is "seventy-four million, three hundred thirty-two thousand, eight hundred".