201712728 has 64 divisors (see below), whose sum is σ = 581967360. Its totient is φ = 57067776.

The previous prime is 201712727. The next prime is 201712729. The reversal of 201712728 is 827217102.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (201712727) and next prime (201712729).

It is a junction number, because it is equal to n+sod(n) for n = 201712695 and 201712704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201712723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11476 + ... + 23132.

It is an arithmetic number, because the mean of its divisors is an integer number (9093240).

Almost surely, 2^201712728 is an apocalyptic number.

201712728 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201712728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290983680).

201712728 is an abundant number, since it is smaller than the sum of its proper divisors (380254632).

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

201712728 is a wasteful number, since it uses less digits than its factorization.

201712728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11776 (or 11772 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 30.

The square root of 201712728 is about 14202.5606141991. The cubic root of 201712728 is about 586.4681539678.

The spelling of 201712728 in words is "two hundred one million, seven hundred twelve thousand, seven hundred twenty-eight".