74009000 has 64 divisors (see below), whose sum is σ = 186535440. Its totient is φ = 27321600.

The previous prime is 74008999. The next prime is 74009053. The reversal of 74009000 is 90047.

It can be written as a sum of positive squares in 8 ways, for example, as 3818116 + 70190884 = 1954^2 + 8378^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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 15 ways as a sum of consecutive naturals, for example, 10154 + ... + 15846.

Almost surely, 2^74009000 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 74009000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93267720).

74009000 is an abundant number, since it is smaller than the sum of its proper divisors (112526440).

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

74009000 is a wasteful number, since it uses less digits than its factorization.

74009000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5727 (or 5713 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 20.

The square root of 74009000 is about 8602.8483655124. The cubic root of 74009000 is about 419.8506649738.

Adding to 74009000 its reverse (90047), we get a palindrome (74099047).

The spelling of 74009000 in words is "seventy-four million, nine thousand".