68736 has 32 divisors (see below), whose sum is σ = 183600. Its totient is φ = 22784.

The previous prime is 68729. The next prime is 68737. The reversal of 68736 is 63786.

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (68737) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 295 + ... + 473.

2⁶⁸⁷³⁶ 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 68736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91800).

68736 is an abundant number, since it is smaller than the sum of its proper divisors (114864).

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

68736 is a wasteful number, since it uses less digits than its factorization.

68736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 184 counting only the distinct ones).

The product of its digits is 6048, while the sum is 30.

The square root of 68736 is about 262.1755137308. The cubic root of 68736 is about 40.9632826145.

Subtracting from 68736 its reverse (63786), we obtain a triangular number (4950 = T₉₉).

The spelling of 68736 in words is "sixty-eight thousand, seven hundred thirty-six".