72718 has 8 divisors (see below), whose sum is σ = 110448. Its totient is φ = 35904.

The previous prime is 72707. The next prime is 72719. The reversal of 72718 is 81727.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 72692 and 72701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72719) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 30 + ... + 382.

It is an arithmetic number, because the mean of its divisors is an integer number (13806).

2⁷²⁷¹⁸ is an apocalyptic number.

72718 is a deficient number, since it is larger than the sum of its proper divisors (37730).

72718 is a wasteful number, since it uses less digits than its factorization.

72718 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458.

The product of its digits is 784, while the sum is 25.

The square root of 72718 is about 269.6627523408. The cubic root of 72718 is about 41.7395063686.

Subtracting 72718 from its reverse (81727), we obtain a palindrome (9009).

The spelling of 72718 in words is "seventy-two thousand, seven hundred eighteen".