85187072 has 40 divisors (see below), whose sum is σ = 171045600. Its totient is φ = 42384384.

The previous prime is 85187071. The next prime is 85187129. The reversal of 85187072 is 27078158.

It is not an unprimeable number, because it can be changed into a prime (85187071) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 193829 + ... + 194267.

It is an arithmetic number, because the mean of its divisors is an integer number (4276140).

Almost surely, 2^85187072 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 85187072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85522800).

85187072 is an abundant number, since it is smaller than the sum of its proper divisors (85858528).

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

85187072 is an equidigital number, since it uses as much as digits as its factorization.

85187072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 836 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 38.

The square root of 85187072 is about 9229.6842849580. The cubic root of 85187072 is about 440.0052891926.

The spelling of 85187072 in words is "eighty-five million, one hundred eighty-seven thousand, seventy-two".