201089672 has 96 divisors (see below), whose sum is σ = 460595520. Its totient is φ = 80559360.

The previous prime is 201089663. The next prime is 201089729. The reversal of 201089672 is 276980102.

It is a happy number.

201089672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3296522 + ... + 3296582.

It is an arithmetic number, because the mean of its divisors is an integer number (4797870).

Almost surely, 2^201089672 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 201089672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230297760).

201089672 is an abundant number, since it is smaller than the sum of its proper divisors (259505848).

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

201089672 is a wasteful number, since it uses less digits than its factorization.

201089672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 35.

The square root of 201089672 is about 14180.6090137201. The cubic root of 201089672 is about 585.8636980260.

The spelling of 201089672 in words is "two hundred one million, eighty-nine thousand, six hundred seventy-two".