201768672 has 144 divisors (see below), whose sum is σ = 627419520. Its totient is φ = 56593152.

The previous prime is 201768653. The next prime is 201768683. The reversal of 201768672 is 276867102.

It is a self number, because there is not a number n which added to its sum of digits gives 201768672.

It is a congruent number.

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, 277173 + ... + 277899.

It is an arithmetic number, because the mean of its divisors is an integer number (4357080).

Almost surely, 2^201768672 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 201768672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313709760).

201768672 is an abundant number, since it is smaller than the sum of its proper divisors (425650848).

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

201768672 is a wasteful number, since it uses less digits than its factorization.

201768672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 813 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The square root of 201768672 is about 14204.5299816643. The cubic root of 201768672 is about 586.5223669436.

The spelling of 201768672 in words is "two hundred one million, seven hundred sixty-eight thousand, six hundred seventy-two".