85190872 has 64 divisors (see below), whose sum is σ = 179071200. Its totient is φ = 37964160.

The previous prime is 85190863. The next prime is 85190881. The reversal of 85190872 is 27809158.

It is an interprime number because it is at equal distance from previous prime (85190863) and next prime (85190881).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 650247 + ... + 650377.

Almost surely, 2^85190872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85190872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89535600).

85190872 is an abundant number, since it is smaller than the sum of its proper divisors (93880328).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

85190872 is a wasteful number, since it uses less digits than its factorization.

85190872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 40.

The square root of 85190872 is about 9229.8901401913. The cubic root of 85190872 is about 440.0118316378.

The spelling of 85190872 in words is "eighty-five million, one hundred ninety thousand, eight hundred seventy-two".