72167165 has 8 divisors (see below), whose sum is σ = 98972160. Its totient is φ = 49486032.

The previous prime is 72167153. The next prime is 72167171. The reversal of 72167165 is 56176127.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 72167165 - 2¹⁰ = 72166141 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (35), and also a Moran number because the ratio is a prime number: 2061919 = 72167165 / (7 + 2 + 1 + 6 + 7 + 1 + 6 + 5).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1030925 + ... + 1030994.

It is an arithmetic number, because the mean of its divisors is an integer number (12371520).

Almost surely, 2^72167165 is an apocalyptic number.

It is an amenable number.

72167165 is a deficient number, since it is larger than the sum of its proper divisors (26804995).

72167165 is a wasteful number, since it uses less digits than its factorization.

72167165 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2061931.

The product of its digits is 17640, while the sum is 35.

The square root of 72167165 is about 8495.1259555112. The cubic root of 72167165 is about 416.3384761440.

The spelling of 72167165 in words is "seventy-two million, one hundred sixty-seven thousand, one hundred sixty-five".