872067 has 16 divisors (see below), whose sum is σ = 1343232. Its totient is φ = 492960.

The previous prime is 872057. The next prime is 872071. The reversal of 872067 is 760278.

872067 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 872067 - 2¹⁴ = 855683 is a prime.

It is a plaindrome in base 15.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 872067.

It is not an unprimeable number, because it can be changed into a prime (872017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2593 + ... + 2909.

It is an arithmetic number, because the mean of its divisors is an integer number (83952).

2⁸⁷²⁰⁶⁷ is an apocalyptic number.

872067 is a deficient number, since it is larger than the sum of its proper divisors (471165).

872067 is a wasteful number, since it uses less digits than its factorization.

872067 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458.

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 872067 is about 933.8452762637. The cubic root of 872067 is about 95.5395704186.

The spelling of 872067 in words is "eight hundred seventy-two thousand, sixty-seven".