73616 has 20 divisors (see below), whose sum is σ = 147312. Its totient is φ = 35616.

The previous prime is 73613. The next prime is 73637. The reversal of 73616 is 61637.

73616 is nontrivially palindromic in base 7.

It is a Smith number, since the sum of its digits (23) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 73591 and 73600.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 73616.

It is not an unprimeable number, because it can be changed into a prime (73613) 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, 635 + ... + 741.

2⁷³⁶¹⁶ is an apocalyptic number.

It is an amenable number.

73616 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a weird number, because it is abundant, but not a pseudoperfect number.

73616 is a wasteful number, since it uses less digits than its factorization.

73616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 152 counting only the distinct ones).

The product of its digits is 756, while the sum is 23.

The square root of 73616 is about 271.3226861138. The cubic root of 73616 is about 41.9106186881.

The spelling of 73616 in words is "seventy-three thousand, six hundred sixteen".