72318 has 16 divisors (see below), whose sum is σ = 153360. Its totient is φ = 22656.

The previous prime is 72313. The next prime is 72337. The reversal of 72318 is 81327.

It is a plaindrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 72294 and 72303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72313) 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, 253 + ... + 456.

It is an arithmetic number, because the mean of its divisors is an integer number (9585).

2⁷²³¹⁸ is an apocalyptic number.

72318 is an abundant number, since it is smaller than the sum of its proper divisors (81042).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76680).

72318 is a wasteful number, since it uses less digits than its factorization.

72318 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 731.

The product of its digits is 336, while the sum is 21.

The square root of 72318 is about 268.9200624721. The cubic root of 72318 is about 41.6628334251.

Subtracting 72318 from its reverse (81327), we obtain a palindrome (9009).

It can be divided in two parts, 723 and 18, that added together give a triangular number (741 = T₃₈).

The spelling of 72318 in words is "seventy-two thousand, three hundred eighteen".