72167117 has 4 divisors (see below), whose sum is σ = 78727776. Its totient is φ = 65606460.

The previous prime is 72167099. The next prime is 72167119. The reversal of 72167117 is 71176127.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72167117 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72167119) 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, 3280313 + ... + 3280334.

It is an arithmetic number, because the mean of its divisors is an integer number (19681944).

Almost surely, 2^72167117 is an apocalyptic number.

It is an amenable number.

72167117 is a deficient number, since it is larger than the sum of its proper divisors (6560659).

72167117 is a wasteful number, since it uses less digits than its factorization.

72167117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6560658.

The product of its digits is 4116, while the sum is 32.

The square root of 72167117 is about 8495.1231303613. The cubic root of 72167117 is about 416.3383838386.

The spelling of 72167117 in words is "seventy-two million, one hundred sixty-seven thousand, one hundred seventeen".