72818109 has 96 divisors (see below), whose sum is σ = 139426560. Its totient is φ = 36951552.

The previous prime is 72818099. The next prime is 72818111. The reversal of 72818109 is 90181827.

It is not a de Polignac number, because 72818109 - 2⁴ = 72818093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72818189) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 818137 + ... + 818225.

It is an arithmetic number, because the mean of its divisors is an integer number (1452360).

Almost surely, 2^72818109 is an apocalyptic number.

It is an amenable number.

72818109 is a deficient number, since it is larger than the sum of its proper divisors (66608451).

72818109 is a wasteful number, since it uses less digits than its factorization.

72818109 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The square root of 72818109 is about 8533.3527408633. The cubic root of 72818109 is about 417.5865148737.

It can be divided in two parts, 72818 and 109, that added together give a palindrome (72927).

The spelling of 72818109 in words is "seventy-two million, eight hundred eighteen thousand, one hundred nine".