65672 has 8 divisors (see below), whose sum is σ = 123150. Its totient is φ = 32832.

The previous prime is 65657. The next prime is 65677. The reversal of 65672 is 27656.

It can be written as a sum of positive squares in only one way, i.e., 64516 + 1156 = 254^2 + 34^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a super-3 number, since 3×65672³ = 849692887033344, which contains 333 as substring.

It is a d-powerful number, because it can be written as 6² + 5³ + 6⁶ + 7⁵ + 2¹¹ .

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

It is not an unprimeable number, because it can be changed into a prime (65677) by changing a digit.

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 as a sum of consecutive naturals, namely, 4097 + ... + 4112.

2⁶⁵⁶⁷² is an apocalyptic number.

It is an amenable number.

65672 is a deficient number, since it is larger than the sum of its proper divisors (57478).

65672 is a wasteful number, since it uses less digits than its factorization.

65672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8215 (or 8211 counting only the distinct ones).

The product of its digits is 2520, while the sum is 26.

The square root of 65672 is about 256.2654873369. The cubic root of 65672 is about 40.3453432046.

It can be divided in two parts, 65 and 672, that added together give a palindrome (737).

The spelling of 65672 in words is "sixty-five thousand, six hundred seventy-two".