200964072 has 64 divisors (see below), whose sum is σ = 549158400. Its totient is φ = 61009920.

The previous prime is 200964061. The next prime is 200964077. The reversal of 200964072 is 270469002.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (200964077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4704 + ... + 20592.

It is an arithmetic number, because the mean of its divisors is an integer number (8580600).

Almost surely, 2^200964072 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 200964072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274579200).

200964072 is an abundant number, since it is smaller than the sum of its proper divisors (348194328).

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

200964072 is a wasteful number, since it uses less digits than its factorization.

200964072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15946 (or 15942 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 200964072 is about 14176.1797392669. The cubic root of 200964072 is about 585.7416963915.

The spelling of 200964072 in words is "two hundred million, nine hundred sixty-four thousand, seventy-two".