73167165 has 32 divisors (see below), whose sum is σ = 133257600. Its totient is φ = 38067840.

The previous prime is 73167151. The next prime is 73167187. The reversal of 73167165 is 56176137.

It is not a de Polignac number, because 73167165 - 2⁸ = 73166909 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1075 + ... + 12144.

It is an arithmetic number, because the mean of its divisors is an integer number (4164300).

Almost surely, 2^73167165 is an apocalyptic number.

It is an amenable number.

73167165 is a deficient number, since it is larger than the sum of its proper divisors (60090435).

73167165 is a wasteful number, since it uses less digits than its factorization.

73167165 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13274 (or 13268 counting only the distinct ones).

The product of its digits is 26460, while the sum is 36.

The square root of 73167165 is about 8553.7807430399. The cubic root of 73167165 is about 418.2526897913.

It can be divided in two parts, 731 and 67165, that added together give a triangular number (67896 = T₃₆₈).

The spelling of 73167165 in words is "seventy-three million, one hundred sixty-seven thousand, one hundred sixty-five".