872120 has 16 divisors (see below), whose sum is σ = 1962360. Its totient is φ = 348832.

The previous prime is 872107. The next prime is 872129. The reversal of 872120 is 21278.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 872092 and 872101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (872129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10862 + ... + 10941.

2⁸⁷²¹²⁰ is an apocalyptic number.

It is an amenable number.

872120 is an abundant number, since it is smaller than the sum of its proper divisors (1090240).

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

872120 is a wasteful number, since it uses less digits than its factorization.

872120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21814 (or 21810 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 20.

The square root of 872120 is about 933.8736531244. The cubic root of 872120 is about 95.5415058565.

Adding to 872120 its reverse (21278), we get a palindrome (893398).

The spelling of 872120 in words is "eight hundred seventy-two thousand, one hundred twenty".