201605403072 has 224 divisors, whose sum is σ = 571134240000. Its totient is φ = 62579810304.

The previous prime is 201605403071. The next prime is 201605403179. The reversal of 201605403072 is 270304506102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201605403071) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58114554 + ... + 58118022.

Almost surely, 2^201605403072 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 201605403072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285567120000).

201605403072 is an abundant number, since it is smaller than the sum of its proper divisors (369528836928).

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

201605403072 is a wasteful number, since it uses less digits than its factorization.

201605403072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3771 (or 3761 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

Adding to 201605403072 its reverse (270304506102), we get a palindrome (471909909174).

The spelling of 201605403072 in words is "two hundred one billion, six hundred five million, four hundred three thousand, seventy-two".