872751 has 16 divisors (see below), whose sum is σ = 1296000. Its totient is φ = 517920.

The previous prime is 872749. The next prime is 872761. The reversal of 872751 is 157278.

It is a happy number.

It is not a de Polignac number, because 872751 - 2¹ = 872749 is a prime.

872751 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (872731) 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 15 ways as a sum of consecutive naturals, for example, 1500 + ... + 1998.

It is an arithmetic number, because the mean of its divisors is an integer number (81000).

2⁸⁷²⁷⁵¹ is an apocalyptic number.

872751 is a deficient number, since it is larger than the sum of its proper divisors (423249).

872751 is a wasteful number, since it uses less digits than its factorization.

872751 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566.

The product of its digits is 3920, while the sum is 30.

The square root of 872751 is about 934.2114321715. The cubic root of 872751 is about 95.5645425015.

It can be divided in two parts, 8727 and 51, that added together give a palindrome (8778).

The spelling of 872751 in words is "eight hundred seventy-two thousand, seven hundred fifty-one".