18372240 has 240 divisors, whose sum is σ = 69638400. Its totient is φ = 4313088.

The previous prime is 18372209. The next prime is 18372241. The reversal of 18372240 is 4227381.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (18372241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 232521 + ... + 232599.

It is an arithmetic number, because the mean of its divisors is an integer number (290160).

Almost surely, 2^18372240 is an apocalyptic number.

18372240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18372240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34819200).

18372240 is an abundant number, since it is smaller than the sum of its proper divisors (51266160).

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

18372240 is a wasteful number, since it uses less digits than its factorization.

18372240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 18372240 is about 4286.2851048431. The cubic root of 18372240 is about 263.8683917023.

The spelling of 18372240 in words is "eighteen million, three hundred seventy-two thousand, two hundred forty".