985072 has 40 divisors (see below), whose sum is σ = 2165040. Its totient is φ = 430080.

The previous prime is 985063. The next prime is 985079. The reversal of 985072 is 270589.

It is an alternating number because its digits alternate between odd and even.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (985079) by changing a digit.

985072 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 7 ways as a sum of consecutive naturals, for example, 5008 + ... + 5200.

It is an arithmetic number, because the mean of its divisors is an integer number (54126).

2⁹⁸⁵⁰⁷² 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 985072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1082520).

985072 is an abundant number, since it is smaller than the sum of its proper divisors (1179968).

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

985072 is a wasteful number, since it uses less digits than its factorization.

985072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 31.

The square root of 985072 is about 992.5079344771. The cubic root of 985072 is about 99.4999032010.

The spelling of 985072 in words is "nine hundred eighty-five thousand, seventy-two".