875072 has 42 divisors (see below), whose sum is σ = 1925574. Its totient is φ = 394240.

The previous prime is 875033. The next prime is 875089. The reversal of 875072 is 270578.

It can be written as a sum of positive squares in only one way, i.e., 495616 + 379456 = 704^2 + 616^2 .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 875072.

It is an unprimeable number.

875072 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7688 + ... + 7800.

It is an arithmetic number, because the mean of its divisors is an integer number (45847).

2⁸⁷⁵⁰⁷² 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 875072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (962787).

875072 is an abundant number, since it is smaller than the sum of its proper divisors (1050502).

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

875072 is a wasteful number, since it uses less digits than its factorization.

875072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 29.

The square root of 875072 is about 935.4528315206. The cubic root of 875072 is about 95.6491825151.

The spelling of 875072 in words is "eight hundred seventy-five thousand, seventy-two".