5985072 has 60 divisors (see below), whose sum is σ = 16974360. Its totient is φ = 1968384.

The previous prime is 5985061. The next prime is 5985073. The reversal of 5985072 is 2705895.

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 (5985073) 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 11 ways as a sum of consecutive naturals, for example, 12583 + ... + 13049.

It is an arithmetic number, because the mean of its divisors is an integer number (282906).

Almost surely, 2^5985072 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 5985072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8487180).

5985072 is an abundant number, since it is smaller than the sum of its proper divisors (10989288).

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

5985072 is a wasteful number, since it uses less digits than its factorization.

5985072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 561 counting only the distinct ones).

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

The square root of 5985072 is about 2446.4406798449. The cubic root of 5985072 is about 181.5612342619.

The spelling of 5985072 in words is "five million, nine hundred eighty-five thousand, seventy-two".