201516672 has 128 divisors (see below), whose sum is σ = 622281600. Its totient is φ = 56586240.

The previous prime is 201516671. The next prime is 201516677. The reversal of 201516672 is 276615102.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (201516671) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 163354 + ... + 164582.

It is an arithmetic number, because the mean of its divisors is an integer number (4861575).

Almost surely, 2^201516672 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 201516672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311140800).

201516672 is an abundant number, since it is smaller than the sum of its proper divisors (420764928).

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

201516672 is a wasteful number, since it uses less digits than its factorization.

201516672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1314 (or 1302 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 201516672 is about 14195.6568005852. The cubic root of 201516672 is about 586.2780851941.

The spelling of 201516672 in words is "two hundred one million, five hundred sixteen thousand, six hundred seventy-two".