7285968 has 60 divisors (see below), whose sum is σ = 21471840. Its totient is φ = 2299968.

The previous prime is 7285919. The next prime is 7285973. The reversal of 7285968 is 8695827.

It is a zygodrome in base 5.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1405 + ... + 4067.

It is an arithmetic number, because the mean of its divisors is an integer number (357864).

Almost surely, 2^7285968 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 7285968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10735920).

7285968 is an abundant number, since it is smaller than the sum of its proper divisors (14185872).

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

7285968 is a wasteful number, since it uses less digits than its factorization.

7285968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2696 (or 2687 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 7285968 is about 2699.2532300620. The cubic root of 7285968 is about 193.8633678533.

It can be divided in two parts, 72859 and 68, that added together give a palindrome (72927).

The spelling of 7285968 in words is "seven million, two hundred eighty-five thousand, nine hundred sixty-eight".