201721632 has 288 divisors, whose sum is σ = 676831680. Its totient is φ = 52254720.

The previous prime is 201721631. The next prime is 201721673. The reversal of 201721632 is 236127102.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (201721631) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3306882 + ... + 3306942.

It is an arithmetic number, because the mean of its divisors is an integer number (2350110).

Almost surely, 2^201721632 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 201721632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338415840).

201721632 is an abundant number, since it is smaller than the sum of its proper divisors (475110048).

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

201721632 is a wasteful number, since it uses less digits than its factorization.

201721632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 201721632 is about 14202.8740753412. The cubic root of 201721632 is about 586.4767831301.

Adding to 201721632 its reverse (236127102), we get a palindrome (437848734).

The spelling of 201721632 in words is "two hundred one million, seven hundred twenty-one thousand, six hundred thirty-two".