72108 has 18 divisors (see below), whose sum is σ = 182364. Its totient is φ = 24024.

The previous prime is 72103. The next prime is 72109. The reversal of 72108 is 80127.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (18).

72108 is a modest number, since divided by 108 gives 72 as remainder.

It is a plaindrome in base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 72108.

It is not an unprimeable number, because it can be changed into a prime (72101) by changing a digit.

72108 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 966 + ... + 1037.

2⁷²¹⁰⁸ is an apocalyptic number.

It is an amenable number.

72108 is an abundant number, since it is smaller than the sum of its proper divisors (110256).

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

72108 is a wasteful number, since it uses less digits than its factorization.

72108 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2013 (or 2008 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 72108 is about 268.5293280072. The cubic root of 72108 is about 41.6224669075.

It can be divided in two parts, 72 and 108, that multiplied together give a 5-th power (7776 = 6⁵).

The spelling of 72108 in words is "seventy-two thousand, one hundred eight".