65736 has 48 divisors (see below), whose sum is σ = 196560. Its totient is φ = 19680.

The previous prime is 65731. The next prime is 65761. The reversal of 65736 is 63756.

65736 is a `hidden beast` number, since 657 + 3 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (65731) by changing a digit.

65736 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 751 + ... + 833.

It is an arithmetic number, because the mean of its divisors is an integer number (4095).

2⁶⁵⁷³⁶ is an apocalyptic number.

65736 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98280).

65736 is an abundant number, since it is smaller than the sum of its proper divisors (130824).

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

65736 is a wasteful number, since it uses less digits than its factorization.

65736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 99 counting only the distinct ones).

The product of its digits is 3780, while the sum is 27.

The square root of 65736 is about 256.3903274307. The cubic root of 65736 is about 40.3584450016.

The spelling of 65736 in words is "sixty-five thousand, seven hundred thirty-six".