74275200 has 144 divisors (see below), whose sum is σ = 265133700. Its totient is φ = 19799040.

The previous prime is 74275171. The next prime is 74275219. The reversal of 74275200 is 257247.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

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 17 ways as a sum of consecutive naturals, for example, 27511 + ... + 30089.

Almost surely, 2^74275200 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 74275200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132566850).

74275200 is an abundant number, since it is smaller than the sum of its proper divisors (190858500).

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

74275200 is a wasteful number, since it uses less digits than its factorization.

74275200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2609 (or 2589 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 74275200 is about 8618.3060980682. The cubic root of 74275200 is about 420.3534439783.

The spelling of 74275200 in words is "seventy-four million, two hundred seventy-five thousand, two hundred".