202117682732 has 72 divisors (see below), whose sum is σ = 418078584000. Its totient is φ = 85235556000.

The previous prime is 202117682731. The next prime is 202117682777. The reversal of 202117682732 is 237286711202.

202117682732 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 202117682732.

It is not an unprimeable number, because it can be changed into a prime (202117682731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4058519 + ... + 4108017.

It is an arithmetic number, because the mean of its divisors is an integer number (5806647000).

Almost surely, 2^202117682732 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 202117682732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209039292000).

202117682732 is an abundant number, since it is smaller than the sum of its proper divisors (215960901268).

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

202117682732 is a wasteful number, since it uses less digits than its factorization.

202117682732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49851 (or 49842 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 41.

The spelling of 202117682732 in words is "two hundred two billion, one hundred seventeen million, six hundred eighty-two thousand, seven hundred thirty-two".