85672107 has 16 divisors (see below), whose sum is σ = 127185280. Its totient is φ = 56996136.

The previous prime is 85672099. The next prime is 85672109. The reversal of 85672107 is 70127658.

It is not a de Polignac number, because 85672107 - 2³ = 85672099 is a prime.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (85672109) 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, 11088 + ... + 17154.

It is an arithmetic number, because the mean of its divisors is an integer number (7949080).

Almost surely, 2^85672107 is an apocalyptic number.

85672107 is a deficient number, since it is larger than the sum of its proper divisors (41513173).

85672107 is a wasteful number, since it uses less digits than its factorization.

85672107 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6599 (or 6593 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 85672107 is about 9255.9228065061. The cubic root of 85672107 is about 440.8388045231.

The spelling of 85672107 in words is "eighty-five million, six hundred seventy-two thousand, one hundred seven".