85696072 has 48 divisors (see below), whose sum is σ = 201862080. Its totient is φ = 33385440.

The previous prime is 85696063. The next prime is 85696097. The reversal of 85696072 is 27069658.

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 11 ways as a sum of consecutive naturals, for example, 453 + ... + 13099.

It is an arithmetic number, because the mean of its divisors is an integer number (4205460).

Almost surely, 2^85696072 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 85696072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100931040).

85696072 is an abundant number, since it is smaller than the sum of its proper divisors (116166008).

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

85696072 is a wasteful number, since it uses less digits than its factorization.

85696072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12682 (or 12667 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 43.

The square root of 85696072 is about 9257.2172924697. The cubic root of 85696072 is about 440.8799058702.

It can be divided in two parts, 8569 and 6072, that added together give a palindrome (14641).

The spelling of 85696072 in words is "eighty-five million, six hundred ninety-six thousand, seventy-two".