73664 has 14 divisors (see below), whose sum is σ = 146304. Its totient is φ = 36800.

The previous prime is 73651. The next prime is 73673. The reversal of 73664 is 46637.

It is a d-powerful number, because it can be written as 7³ + 3 + 6 + 6⁵ + 4⁸ .

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 73664.

It is an unprimeable number.

73664 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 512 + ... + 639.

2⁷³⁶⁶⁴ is an apocalyptic number.

It is an amenable number.

73664 is a deficient number, since it is larger than the sum of its proper divisors (72640).

73664 is a wasteful number, since it uses less digits than its factorization.

73664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1163 (or 1153 counting only the distinct ones).

The product of its digits is 3024, while the sum is 26.

The square root of 73664 is about 271.4111272590. The cubic root of 73664 is about 41.9197257329.

It can be divided in two parts, 73 and 664, that added together give a palindrome (737).

The spelling of 73664 in words is "seventy-three thousand, six hundred sixty-four".