72556218 has 48 divisors (see below), whose sum is σ = 180722880. Its totient is φ = 20608128.

The previous prime is 72556201. The next prime is 72556219. The reversal of 72556218 is 81265527.

It is a happy number.

72556218 is a `hidden beast` number, since 7 + 25 + 5 + 621 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (72556219) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20946 + ... + 24162.

It is an arithmetic number, because the mean of its divisors is an integer number (3765060).

Almost surely, 2^72556218 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72556218, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90361440).

72556218 is an abundant number, since it is smaller than the sum of its proper divisors (108166662).

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

72556218 is a wasteful number, since it uses less digits than its factorization.

72556218 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3411 (or 3408 counting only the distinct ones).

The product of its digits is 33600, while the sum is 36.

The square root of 72556218 is about 8517.9937778799. The cubic root of 72556218 is about 417.0852955965.

The spelling of 72556218 in words is "seventy-two million, five hundred fifty-six thousand, two hundred eighteen".