383200272 has 120 divisors (see below), whose sum is σ = 1319957184. Its totient is φ = 101060352.

The previous prime is 383200267. The next prime is 383200297. The reversal of 383200272 is 272002383.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1518 + ... + 27725.

Almost surely, 2^383200272 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 383200272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659978592).

383200272 is an abundant number, since it is smaller than the sum of its proper divisors (936756912).

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

383200272 is a wasteful number, since it uses less digits than its factorization.

383200272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29277 (or 29268 counting only the distinct ones).

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

The square root of 383200272 is about 19575.5018326479. The cubic root of 383200272 is about 726.3433023372.

The spelling of 383200272 in words is "three hundred eighty-three million, two hundred thousand, two hundred seventy-two".