85316672 has 56 divisors (see below), whose sum is σ = 198753984. Its totient is φ = 35569152.

The previous prime is 85316611. The next prime is 85316677. The reversal of 85316672 is 27661358.

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (85316677) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14003 + ... + 19149.

Almost surely, 2^85316672 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 85316672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99376992).

85316672 is an abundant number, since it is smaller than the sum of its proper divisors (113437312).

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

85316672 is a wasteful number, since it uses less digits than its factorization.

85316672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5203 (or 5193 counting only the distinct ones).

The product of its digits is 60480, while the sum is 38.

The square root of 85316672 is about 9236.7024418891. The cubic root of 85316672 is about 440.2283112633.

The spelling of 85316672 in words is "eighty-five million, three hundred sixteen thousand, six hundred seventy-two".