85905072 has 120 divisors (see below), whose sum is σ = 264567888. Its totient is φ = 25804800.

The previous prime is 85905031. The next prime is 85905073. The reversal of 85905072 is 27050958.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (85905073) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 305572 + ... + 305852.

Almost surely, 2^85905072 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 85905072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132283944).

85905072 is an abundant number, since it is smaller than the sum of its proper divisors (178662816).

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

85905072 is a wasteful number, since it uses less digits than its factorization.

85905072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 85905072 is about 9268.4989075902. The cubic root of 85905072 is about 441.2380284425.

The spelling of 85905072 in words is "eighty-five million, nine hundred five thousand, seventy-two".