72664 has 16 divisors (see below), whose sum is σ = 141120. Its totient is φ = 35040.

The previous prime is 72661. The next prime is 72671. The reversal of 72664 is 46627.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72661) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 102 + ... + 394.

It is an arithmetic number, because the mean of its divisors is an integer number (8820).

2⁷²⁶⁶⁴ is an apocalyptic number.

It is an amenable number.

72664 is a deficient number, since it is larger than the sum of its proper divisors (68456).

72664 is a wasteful number, since it uses less digits than its factorization.

72664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 326 counting only the distinct ones).

The product of its digits is 2016, while the sum is 25.

The square root of 72664 is about 269.5626086830. The cubic root of 72664 is about 41.7291719650.

It can be divided in two parts, 726 and 64, that multiplied together give a palindrome (46464).

The spelling of 72664 in words is "seventy-two thousand, six hundred sixty-four".