78728 has 16 divisors (see below), whose sum is σ = 159180. Its totient is φ = 36288.

The previous prime is 78721. The next prime is 78737. The reversal of 78728 is 82787.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 77284 + 1444 = 278^2 + 38^2 .

It is a plaindrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 78694 and 78703.

It is not an unprimeable number, because it can be changed into a prime (78721) 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 3 ways as a sum of consecutive naturals, for example, 275 + ... + 482.

2⁷⁸⁷²⁸ is an apocalyptic number.

It is an amenable number.

78728 is an abundant number, since it is smaller than the sum of its proper divisors (80452).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79590).

78728 is a wasteful number, since it uses less digits than its factorization.

78728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776 (or 772 counting only the distinct ones).

The product of its digits is 6272, while the sum is 32.

The square root of 78728 is about 280.5851029545. The cubic root of 78728 is about 42.8591025559.

The spelling of 78728 in words is "seventy-eight thousand, seven hundred twenty-eight".