72918 has 12 divisors (see below), whose sum is σ = 158028. Its totient is φ = 24300.

The previous prime is 72911. The next prime is 72923. The reversal of 72918 is 81927.

It is a junction number, because it is equal to n+sod(n) for n = 72891 and 72900.

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 5 ways as a sum of consecutive naturals, for example, 2008 + ... + 2043.

It is an arithmetic number, because the mean of its divisors is an integer number (13169).

2⁷²⁹¹⁸ is an apocalyptic number.

72918 is an abundant number, since it is smaller than the sum of its proper divisors (85110).

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

72918 is a wasteful number, since it uses less digits than its factorization.

72918 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4059 (or 4056 counting only the distinct ones).

The product of its digits is 1008, while the sum is 27.

The square root of 72918 is about 270.0333312760. The cubic root of 72918 is about 41.7777374335. Note that the first 4 decimals are identical.

Subtracting 72918 from its reverse (81927), we obtain a palindrome (9009).

It can be divided in two parts, 729 and 18, that added together give a palindrome (747).

The spelling of 72918 in words is "seventy-two thousand, nine hundred eighteen".