65952 has 36 divisors (see below), whose sum is σ = 188370. Its totient is φ = 21888.

The previous prime is 65951. The next prime is 65957. The reversal of 65952 is 25956.

65952 is a `hidden beast` number, since 659 + 5 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 41616 + 24336 = 204^2 + 156^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an Ulam number.

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (65951) 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, 174 + ... + 402.

2⁶⁵⁹⁵² 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 65952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94185).

65952 is an abundant number, since it is smaller than the sum of its proper divisors (122418).

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

65952 is a wasteful number, since it uses less digits than its factorization.

65952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 234 counting only the distinct ones).

The product of its digits is 2700, while the sum is 27.

The square root of 65952 is about 256.8112147084. The cubic root of 65952 is about 40.4026008847.

The spelling of 65952 in words is "sixty-five thousand, nine hundred fifty-two".