74010000 has 100 divisors (see below), whose sum is σ = 239010992. Its totient is φ = 19728000.

The previous prime is 74009981. The next prime is 74010011. The reversal of 74010000 is 1047.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (12).

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 19 ways as a sum of consecutive naturals, for example, 28767 + ... + 31233.

Almost surely, 2^74010000 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 74010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119505496).

74010000 is an abundant number, since it is smaller than the sum of its proper divisors (165000992).

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

74010000 is a wasteful number, since it uses less digits than its factorization.

74010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2498 (or 2477 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 12.

The square root of 74010000 is about 8602.9064856012. The cubic root of 74010000 is about 419.8525559545.

Adding to 74010000 its reverse (1047), we get a palindrome (74011047).

The spelling of 74010000 in words is "seventy-four million, ten thousand".