65772 has 60 divisors (see below), whose sum is σ = 203280. Its totient is φ = 18144.

The previous prime is 65761. The next prime is 65777. The reversal of 65772 is 27756.

Added to its reverse (27756) it gives a triangular number (93528 = T₄₃₂).

65772 is a `hidden beast` number, since 657 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (65777) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2254 + ... + 2282.

It is an arithmetic number, because the mean of its divisors is an integer number (3388).

2⁶⁵⁷⁷² 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 65772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101640).

65772 is an abundant number, since it is smaller than the sum of its proper divisors (137508).

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

65772 is a wasteful number, since it uses less digits than its factorization.

65772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52 (or 41 counting only the distinct ones).

The product of its digits is 2940, while the sum is 27.

The square root of 65772 is about 256.4605232780. The cubic root of 65772 is about 40.3658110257.

Adding to 65772 its reverse (27756), we get a triangular number (93528 = T₄₃₂).

It can be divided in two parts, 657 and 72, that added together give a 6-th power (729 = 3⁶).

The spelling of 65772 in words is "sixty-five thousand, seven hundred seventy-two".