872128 has 14 divisors (see below), whose sum is σ = 1730756. Its totient is φ = 436032.

The previous prime is 872107. The next prime is 872129. The reversal of 872128 is 821278.

It is a junction number, because it is equal to n+sod(n) for n = 872096 and 872105.

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

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6750 + ... + 6877.

2⁸⁷²¹²⁸ is an apocalyptic number.

It is an amenable number.

872128 is a deficient number, since it is larger than the sum of its proper divisors (858628).

872128 is a wasteful number, since it uses less digits than its factorization.

872128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13639 (or 13629 counting only the distinct ones).

The product of its digits is 1792, while the sum is 28.

The square root of 872128 is about 933.8779363493. The cubic root of 872128 is about 95.5417979913.

It can be divided in two parts, 872 and 128, that added together give a cube (1000 = 10³).

The spelling of 872128 in words is "eight hundred seventy-two thousand, one hundred twenty-eight".