72558018 has 80 divisors (see below), whose sum is σ = 177097536. Its totient is φ = 22070880.

The previous prime is 72558001. The next prime is 72558043. The reversal of 72558018 is 81085527.

72558018 is a `hidden beast` number, since 72 + 5 + 580 + 1 + 8 = 666.

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 39 ways as a sum of consecutive naturals, for example, 275755 + ... + 276017.

Almost surely, 2^72558018 is an apocalyptic number.

72558018 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 72558018, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88548768).

72558018 is an abundant number, since it is smaller than the sum of its proper divisors (104539518).

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

72558018 is a wasteful number, since it uses less digits than its factorization.

72558018 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 412 counting only the distinct ones).

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

The square root of 72558018 is about 8518.0994359070. The cubic root of 72558018 is about 417.0887446339.

The spelling of 72558018 in words is "seventy-two million, five hundred fifty-eight thousand, eighteen".