872010 has 24 divisors (see below), whose sum is σ = 2267460. Its totient is φ = 232512.

The previous prime is 871993. The next prime is 872017. The reversal of 872010 is 10278.

872010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 870489 + 1521 = 933^2 + 39^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (872017) by changing a digit.

872010 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 11 ways as a sum of consecutive naturals, for example, 4755 + ... + 4934.

2⁸⁷²⁰¹⁰ is an apocalyptic number.

872010 is an abundant number, since it is smaller than the sum of its proper divisors (1395450).

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

872010 is a wasteful number, since it uses less digits than its factorization.

872010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9702 (or 9699 counting only the distinct ones).

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

The square root of 872010 is about 933.8147567907. The cubic root of 872010 is about 95.5374888224.

Adding to 872010 its reverse (10278), we get a palindrome (882288).

The spelling of 872010 in words is "eight hundred seventy-two thousand, ten".