875772 has 72 divisors (see below), whose sum is σ = 2476656. Its totient is φ = 269568.

The previous prime is 875761. The next prime is 875773. The reversal of 875772 is 277578.

875772 is a `hidden beast` number, since 87 + 577 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 8⁵ + 7⁴ + 7⁵ + 5³ + 7⁷ + 2⁷ .

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (875773) by changing a digit.

875772 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16498 + ... + 16550.

It is an arithmetic number, because the mean of its divisors is an integer number (34398).

2⁸⁷⁵⁷⁷² 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 875772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1238328).

875772 is an abundant number, since it is smaller than the sum of its proper divisors (1600884).

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

875772 is a wasteful number, since it uses less digits than its factorization.

875772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 75 counting only the distinct ones).

The product of its digits is 27440, while the sum is 36.

The square root of 875772 is about 935.8269070720. The cubic root of 875772 is about 95.6746800676.

The spelling of 875772 in words is "eight hundred seventy-five thousand, seven hundred seventy-two".