201072816 has 120 divisors (see below), whose sum is σ = 658211840. Its totient is φ = 56101248.

The previous prime is 201072811. The next prime is 201072841. The reversal of 201072816 is 618270102.

It is a self number, because there is not a number n which added to its sum of digits gives 201072816.

It is not an unprimeable number, because it can be changed into a prime (201072811) by changing a digit.

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, 41025 + ... + 45663.

Almost surely, 2^201072816 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 201072816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329105920).

201072816 is an abundant number, since it is smaller than the sum of its proper divisors (457139024).

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

201072816 is a wasteful number, since it uses less digits than its factorization.

201072816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4703 (or 4694 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 201072816 is about 14180.0146685397. The cubic root of 201072816 is about 585.8473278923.

The spelling of 201072816 in words is "two hundred one million, seventy-two thousand, eight hundred sixteen".