872001 has 24 divisors (see below), whose sum is σ = 1408680. Its totient is φ = 516096.

The previous prime is 871993. The next prime is 872017. The reversal of 872001 is 100278.

It can be written as a sum of positive squares in 4 ways, for example, as 230400 + 641601 = 480^2 + 801^2 .

It is not a de Polignac number, because 872001 - 2³ = 871993 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (872041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3265 + ... + 3521.

It is an arithmetic number, because the mean of its divisors is an integer number (58695).

2⁸⁷²⁰⁰¹ is an apocalyptic number.

It is an amenable number.

872001 is a deficient number, since it is larger than the sum of its proper divisors (536679).

872001 is a wasteful number, since it uses less digits than its factorization.

872001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 872001 is about 933.8099378353. The cubic root of 872001 is about 95.5371601410.

Adding to 872001 its reverse (100278), we get a palindrome (972279).

The spelling of 872001 in words is "eight hundred seventy-two thousand, one".