872727912 has 256 divisors, whose sum is σ = 3089664000. Its totient is φ = 222206976.

The previous prime is 872727907. The next prime is 872727937. The reversal of 872727912 is 219727278.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 487483 + ... + 489269.

It is an arithmetic number, because the mean of its divisors is an integer number (12069000).

Almost surely, 2^872727912 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 872727912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1544832000).

872727912 is an abundant number, since it is smaller than the sum of its proper divisors (2216936088).

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

872727912 is a wasteful number, since it uses less digits than its factorization.

872727912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1845 (or 1835 counting only the distinct ones).

The product of its digits is 197568, while the sum is 45.

The square root of 872727912 is about 29541.9686547799. The cubic root of 872727912 is about 955.6369979700.

The spelling of 872727912 in words is "eight hundred seventy-two million, seven hundred twenty-seven thousand, nine hundred twelve".