72558180 has 60 divisors (see below), whose sum is σ = 227622780. Its totient is φ = 19348416.

The previous prime is 72558137. The next prime is 72558191. The reversal of 72558180 is 8185527.

72558180 is a `hidden beast` number, since 72 + 5 + 581 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 13483584 + 59074596 = 3672^2 + 7686^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 20775 + ... + 24014.

It is an arithmetic number, because the mean of its divisors is an integer number (3793713).

Almost surely, 2^72558180 is an apocalyptic number.

It is an amenable number.

72558180 is an abundant number, since it is smaller than the sum of its proper divisors (155064600).

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

72558180 is a wasteful number, since it uses less digits than its factorization.

72558180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44810 (or 44799 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

The square root of 72558180 is about 8518.1089450652. The cubic root of 72558180 is about 417.0890550444.

The spelling of 72558180 in words is "seventy-two million, five hundred fifty-eight thousand, one hundred eighty".