872768 has 28 divisors (see below), whose sum is σ = 1866900. Its totient is φ = 402432.

The previous prime is 872761. The next prime is 872789. The reversal of 872768 is 867278.

It can be written as a sum of positive squares in 2 ways, for example, as 473344 + 399424 = 688^2 + 632^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (872761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 308 + ... + 1356.

It is an arithmetic number, because the mean of its divisors is an integer number (66675).

2⁸⁷²⁷⁶⁸ 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 872768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (933450).

872768 is an abundant number, since it is smaller than the sum of its proper divisors (994132).

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

872768 is a wasteful number, since it uses less digits than its factorization.

872768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1074 (or 1064 counting only the distinct ones).

The product of its digits is 37632, while the sum is 38.

The square root of 872768 is about 934.2205307100. The cubic root of 872768 is about 95.5651629865.

The spelling of 872768 in words is "eight hundred seventy-two thousand, seven hundred sixty-eight".