73208961 has 32 divisors (see below), whose sum is σ = 124358400. Its totient is φ = 41696640.

The previous prime is 73208951. The next prime is 73208981. The reversal of 73208961 is 16980237.

It is not a de Polignac number, because 73208961 - 2⁶ = 73208897 is a prime.

It is not an unprimeable number, because it can be changed into a prime (73208921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95821 + ... + 96581.

It is an arithmetic number, because the mean of its divisors is an integer number (3886200).

Almost surely, 2^73208961 is an apocalyptic number.

It is an amenable number.

73208961 is a deficient number, since it is larger than the sum of its proper divisors (51149439).

73208961 is a wasteful number, since it uses less digits than its factorization.

73208961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1286 (or 1280 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 73208961 is about 8556.2235244295. The cubic root of 73208961 is about 418.3323154987.

The spelling of 73208961 in words is "seventy-three million, two hundred eight thousand, nine hundred sixty-one".