72917 has 8 divisors (see below), whose sum is σ = 80640. Its totient is φ = 65520.

The previous prime is 72911. The next prime is 72923. The reversal of 72917 is 71927.

It is an interprime number because it is at equal distance from previous prime (72911) and next prime (72923).

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

It is not a de Polignac number, because 72917 - 2⁴ = 72901 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 (72911) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 884 + ... + 962.

It is an arithmetic number, because the mean of its divisors is an integer number (10080).

2⁷²⁹¹⁷ is an apocalyptic number.

It is an amenable number.

72917 is a deficient number, since it is larger than the sum of its proper divisors (7723).

72917 is a wasteful number, since it uses less digits than its factorization.

72917 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163.

The product of its digits is 882, while the sum is 26.

The square root of 72917 is about 270.0314796464. The cubic root of 72917 is about 41.7775464522. Note that the first 3 decimals are identical.

Subtracting from 72917 its reverse (71927), we obtain a triangular number (990 = T₄₄).

It can be divided in two parts, 72 and 917, that added together give a palindrome (989).

The spelling of 72917 in words is "seventy-two thousand, nine hundred seventeen".