68728 has 24 divisors (see below), whose sum is σ = 143640. Its totient is φ = 30800.

The previous prime is 68713. The next prime is 68729. The reversal of 68728 is 82786.

Its product of digits (5376) is a multiple of the sum of its prime divisors (84).

It is a plaindrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 68728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 933 + ... + 1003.

It is an arithmetic number, because the mean of its divisors is an integer number (5985).

2⁶⁸⁷²⁸ 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 68728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71820).

68728 is an abundant number, since it is smaller than the sum of its proper divisors (74912).

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

68728 is a wasteful number, since it uses less digits than its factorization.

68728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 84 counting only the distinct ones).

The product of its digits is 5376, while the sum is 31.

The square root of 68728 is about 262.1602563319. The cubic root of 68728 is about 40.9616933504.

The spelling of 68728 in words is "sixty-eight thousand, seven hundred twenty-eight".