72589218 has 48 divisors (see below), whose sum is σ = 166491936. Its totient is φ = 21016320.

The previous prime is 72589213. The next prime is 72589249. The reversal of 72589218 is 81298527.

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 72589218.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72589211) 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, 15133 + ... + 19343.

It is an arithmetic number, because the mean of its divisors is an integer number (3468582).

Almost surely, 2^72589218 is an apocalyptic number.

72589218 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 72589218, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83245968).

72589218 is an abundant number, since it is smaller than the sum of its proper divisors (93902718).

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

72589218 is a wasteful number, since it uses less digits than its factorization.

72589218 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4259 (or 4246 counting only the distinct ones).

The product of its digits is 80640, while the sum is 42.

The square root of 72589218 is about 8519.9306335204. The cubic root of 72589218 is about 417.1485188872.

The spelling of 72589218 in words is "seventy-two million, five hundred eighty-nine thousand, two hundred eighteen".