65072 has 30 divisors (see below), whose sum is σ = 148428. Its totient is φ = 27552.

The previous prime is 65071. The next prime is 65089. The reversal of 65072 is 27056.

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

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

It is a nialpdrome in base 16.

It is a zygodrome in base 2.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 65072.

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 5 ways as a sum of consecutive naturals, for example, 743 + ... + 825.

2⁶⁵⁰⁷² 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 65072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74214).

65072 is an abundant number, since it is smaller than the sum of its proper divisors (83356).

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

65072 is a wasteful number, since it uses less digits than its factorization.

65072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 20.

The square root of 65072 is about 255.0921402160. The cubic root of 65072 is about 40.2220978644. Note that the first 3 decimals are identical.

The spelling of 65072 in words is "sixty-five thousand, seventy-two".