72000108 has 18 divisors (see below), whose sum is σ = 182000364. Its totient is φ = 24000024.

The previous prime is 72000091. The next prime is 72000109. The reversal of 72000108 is 80100027.

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).

72000108 is a modest number, since divided by 108 gives 72 as remainder.

It is not an unprimeable number, because it can be changed into a prime (72000109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 999966 + ... + 1000037.

Almost surely, 2^72000108 is an apocalyptic number.

It is an amenable number.

72000108 is an abundant number, since it is smaller than the sum of its proper divisors (110000256).

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

72000108 is a wasteful number, since it uses less digits than its factorization.

72000108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2000013 (or 2000008 counting only the distinct ones).

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

The square root of 72000108 is about 8485.2877381972. The cubic root of 72000108 is about 416.0169726187.

The spelling of 72000108 in words is "seventy-two million, one hundred eight", and thus it is an aban number.