872388185768 has 128 divisors (see below), whose sum is σ = 1990237132800. Its totient is φ = 353322777600.

The previous prime is 872388185761. The next prime is 872388185803. The reversal of 872388185768 is 867581883278.

872388185768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×872388185768² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (872388185761) 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, 43507121 + ... + 43527167.

It is an arithmetic number, because the mean of its divisors is an integer number (15548727600).

Almost surely, 2^872388185768 is an apocalyptic number.

872388185768 is a gapful number since it is divisible by the number (88) 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 872388185768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (995118566400).

872388185768 is an abundant number, since it is smaller than the sum of its proper divisors (1117848947032).

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

872388185768 is a wasteful number, since it uses less digits than its factorization.

872388185768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21631 (or 21627 counting only the distinct ones).

The product of its digits is 289013760, while the sum is 71.

The spelling of 872388185768 in words is "eight hundred seventy-two billion, three hundred eighty-eight million, one hundred eighty-five thousand, seven hundred sixty-eight".