65572 has 18 divisors (see below), whose sum is σ = 125538. Its totient is φ = 29952.

The previous prime is 65563. The next prime is 65579. The reversal of 65572 is 27556.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 36 + 65536 = 6^2 + 256^2 .

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (65579) by changing a digit.

65572 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 628 + ... + 724.

2⁶⁵⁵⁷² is an apocalyptic number.

It is an amenable number.

65572 is a deficient number, since it is larger than the sum of its proper divisors (59966).

65572 is a wasteful number, since it uses less digits than its factorization.

65572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 112 counting only the distinct ones).

The product of its digits is 2100, while the sum is 25.

The square root of 65572 is about 256.0703028467. The cubic root of 65572 is about 40.3248545952.

It can be divided in two parts, 655 and 72, that added together give a palindrome (727).

The spelling of 65572 in words is "sixty-five thousand, five hundred seventy-two".