872 has 8 divisors (see below), whose sum is σ = 1650. Its totient is φ = 432.

The previous prime is 863. The next prime is 877. The reversal of 872 is 278.

It can be divided in two parts, 8 and 72, that multiplied together give a square (576 = 24^{2}).

872 is nontrivially palindromic in base 14.

872 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 only one way, i.e., 676 + 196 = 26^2 + 14^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is an alternating number because its digits alternate between even and odd.

872 is an undulating number in base 14.

872 is a modest number, since divided by 72 gives 8 as remainder.

It is a plaindrome in base 9 and base 16.

It is a nialpdrome in base 10 and base 13.

It is a self number, because there is not a number *n* which added to its sum of digits gives 872.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 872.

It is not an unprimeable number, because it can be changed into a prime (877) by changing a digit.

872 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 47 + ... + 62.

It is an amenable number.

872 is a deficient number, since it is larger than the sum of its proper divisors (778).

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

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

The sum of its prime factors is 115 (or 111 counting only the distinct ones).

The product of its digits is 112, while the sum is 17.

The square root of 872 is about 29.5296461205. The cubic root of 872 is about 9.5537123621.

The spelling of 872 in words is "eight hundred seventy-two", and thus it is an aban number.

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