872748576 has 144 divisors (see below), whose sum is σ = 2866316544. Its totient is φ = 246730752.

The previous prime is 872748559. The next prime is 872748581. The reversal of 872748576 is 675847278.

It is a happy number.

872748576 is a `hidden beast` number, since 8 + 7 + 27 + 48 + 576 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 193321 + ... + 197783.

It is an arithmetic number, because the mean of its divisors is an integer number (19904976).

Almost surely, 2^872748576 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 872748576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1433158272).

872748576 is an abundant number, since it is smaller than the sum of its proper divisors (1993567968).

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

872748576 is a wasteful number, since it uses less digits than its factorization.

872748576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4583 (or 4572 counting only the distinct ones).

The product of its digits is 5268480, while the sum is 54.

The square root of 872748576 is about 29542.3183924349. The cubic root of 872748576 is about 955.6445402699.

The spelling of 872748576 in words is "eight hundred seventy-two million, seven hundred forty-eight thousand, five hundred seventy-six".