85927072 has 96 divisors (see below), whose sum is σ = 216082944. Its totient is φ = 32659200.

The previous prime is 85927067. The next prime is 85927073. The reversal of 85927072 is 27072958.

It is not an unprimeable number, because it can be changed into a prime (85927073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105547 + ... + 106357.

It is an arithmetic number, because the mean of its divisors is an integer number (2250864).

Almost surely, 2^85927072 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 85927072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108041472).

85927072 is an abundant number, since it is smaller than the sum of its proper divisors (130155872).

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

85927072 is a wasteful number, since it uses less digits than its factorization.

85927072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 882 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 40.

The square root of 85927072 is about 9269.6856473130. The cubic root of 85927072 is about 441.2756917526.

The spelling of 85927072 in words is "eighty-five million, nine hundred twenty-seven thousand, seventy-two".