18272268 has 72 divisors (see below), whose sum is σ = 54512640. Its totient is φ = 5050080.

The previous prime is 18272251. The next prime is 18272269. The reversal of 18272268 is 86227281.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18272269) 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, 6643 + ... + 8981.

It is an arithmetic number, because the mean of its divisors is an integer number (757120).

Almost surely, 2^18272268 is an apocalyptic number.

18272268 is a gapful number since it is divisible by the number (18) 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 18272268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27256320).

18272268 is an abundant number, since it is smaller than the sum of its proper divisors (36240372).

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

18272268 is a wasteful number, since it uses less digits than its factorization.

18272268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2387 (or 2382 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 18272268 is about 4274.6073503890. The cubic root of 18272268 is about 263.3889102728.

It can be divided in two parts, 1827 and 2268, that added together give a triangular number (4095 = T₉₀).

The spelling of 18272268 in words is "eighteen million, two hundred seventy-two thousand, two hundred sixty-eight".