74011200 has 168 divisors, whose sum is σ = 257385312. Its totient is φ = 18554880.

The previous prime is 74011187. The next prime is 74011313. The reversal of 74011200 is 211047.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 74011200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81147 + ... + 82053.

Almost surely, 2^74011200 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 74011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128692656).

74011200 is an abundant number, since it is smaller than the sum of its proper divisors (183374112).

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

74011200 is a wasteful number, since it uses less digits than its factorization.

74011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 949 (or 934 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 15.

The square root of 74011200 is about 8602.9762291895. The cubic root of 74011200 is about 419.8548251089.

Adding to 74011200 its reverse (211047), we get a palindrome (74222247).

The spelling of 74011200 in words is "seventy-four million, eleven thousand, two hundred".