65076 has 48 divisors (see below), whose sum is σ = 181440. Its totient is φ = 17920.

The previous prime is 65071. The next prime is 65089. The reversal of 65076 is 67056.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65071) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2230 + ... + 2258.

It is an arithmetic number, because the mean of its divisors is an integer number (3780).

2⁶⁵⁰⁷⁶ is an apocalyptic number.

65076 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 65076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90720).

65076 is an abundant number, since it is smaller than the sum of its proper divisors (116364).

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

65076 is a wasteful number, since it uses less digits than its factorization.

65076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 65076 is about 255.0999803998. The cubic root of 65076 is about 40.2229220033. Note that the first 3 decimals are identical.

The spelling of 65076 in words is "sixty-five thousand, seventy-six".