65712 has 30 divisors (see below), whose sum is σ = 174468. Its totient is φ = 21312.

The previous prime is 65707. The next prime is 65713. The reversal of 65712 is 21756.

Its product of digits (420) is a multiple of the sum of its prime divisors (42).

It is not an unprimeable number, because it can be changed into a prime (65713) 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, 1758 + ... + 1794.

2⁶⁵⁷¹² 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 65712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87234).

65712 is an abundant number, since it is smaller than the sum of its proper divisors (108756).

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

65712 is a wasteful number, since it uses less digits than its factorization.

65712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 42 counting only the distinct ones).

The product of its digits is 420, while the sum is 21.

The square root of 65712 is about 256.3435195202. The cubic root of 65712 is about 40.3535328247.

Subtracting from 65712 its reverse (21756), we obtain a triangular number (43956 = T₂₉₆).

It can be divided in two parts, 65 and 712, that added together give a palindrome (777).

The spelling of 65712 in words is "sixty-five thousand, seven hundred twelve".