872032167 has 24 divisors (see below), whose sum is σ = 1268873424. Its totient is φ = 577094784.

The previous prime is 872032159. The next prime is 872032193. The reversal of 872032167 is 761230278.

It is not a de Polignac number, because 872032167 - 2³ = 872032159 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (872032067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 914563 + ... + 915515.

It is an arithmetic number, because the mean of its divisors is an integer number (52869726).

Almost surely, 2^872032167 is an apocalyptic number.

872032167 is a deficient number, since it is larger than the sum of its proper divisors (396841257).

872032167 is a wasteful number, since it uses less digits than its factorization.

872032167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1599 (or 1596 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 872032167 is about 29530.1907714800. The cubic root of 872032167 is about 955.3829835498.

The spelling of 872032167 in words is "eight hundred seventy-two million, thirty-two thousand, one hundred sixty-seven".