2872 has 8 divisors (see below), whose sum is σ = 5400. Its totient is φ = 1432.

The previous prime is 2861. The next prime is 2879. The reversal of 2872 is 2782.

2872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a hoax number, since the sum of its digits (19) coincides with the sum of the digits of its distinct prime factors.

It is a tetranacci number.

It is a plaindrome in base 13.

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2879) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 172 + ... + 187.

It is an arithmetic number, because the mean of its divisors is an integer number (675).

2^{2872} is an apocalyptic number.

It is an amenable number.

2872 is a deficient number, since it is larger than the sum of its proper divisors (2528).

2872 is a wasteful number, since it uses less digits than its factorization.

2872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 361 counting only the distinct ones).

The product of its digits is 224, while the sum is 19.

The square root of 2872 is about 53.5910440279. The cubic root of 2872 is about 14.2143873223.

It can be divided in two parts, 287 and 2, that added together give a square (289 = 17^{2}).

The spelling of 2872 in words is "two thousand, eight hundred seventy-two".

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