72180918 has 24 divisors (see below), whose sum is σ = 160030728. Its totient is φ = 23500512.

The previous prime is 72180917. The next prime is 72180947. The reversal of 72180918 is 81908127.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72180917) by changing a digit.

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, 45855 + ... + 47402.

It is an arithmetic number, because the mean of its divisors is an integer number (6667947).

Almost surely, 2^72180918 is an apocalyptic number.

72180918 is an abundant number, since it is smaller than the sum of its proper divisors (87849810).

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

72180918 is a wasteful number, since it uses less digits than its factorization.

72180918 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93308 (or 93305 counting only the distinct ones).

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

The square root of 72180918 is about 8495.9353811102. The cubic root of 72180918 is about 416.3649218707.

The spelling of 72180918 in words is "seventy-two million, one hundred eighty thousand, nine hundred eighteen".