72105318 has 24 divisors (see below), whose sum is σ = 161269056. Its totient is φ = 23259600.

The previous prime is 72105283. The next prime is 72105331. The reversal of 72105318 is 81350127.

It is a super-2 number, since 2×72105318² = 10398353767762248, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 72105291 and 72105300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64053 + ... + 65168.

It is an arithmetic number, because the mean of its divisors is an integer number (6719544).

Almost surely, 2^72105318 is an apocalyptic number.

72105318 is an abundant number, since it is smaller than the sum of its proper divisors (89163738).

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

72105318 is a wasteful number, since it uses less digits than its factorization.

72105318 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129260 (or 129257 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 72105318 is about 8491.4850291336. The cubic root of 72105318 is about 416.2195086287.

The spelling of 72105318 in words is "seventy-two million, one hundred five thousand, three hundred eighteen".