18394272 has 144 divisors (see below), whose sum is σ = 59852520. Its totient is φ = 5326848.

The previous prime is 18394241. The next prime is 18394297. The reversal of 18394272 is 27249381.

It can be written as a sum of positive squares in 4 ways, for example, as 13571856 + 4822416 = 3684^2 + 2196^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1082008 + ... + 1082024.

Almost surely, 2^18394272 is an apocalyptic number.

18394272 is a gapful number since it is divisible by the number (12) 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 18394272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29926260).

18394272 is an abundant number, since it is smaller than the sum of its proper divisors (41458248).

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

18394272 is a wasteful number, since it uses less digits than its factorization.

18394272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 35 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 18394272 is about 4288.8543924922. The cubic root of 18394272 is about 263.9738266063.

It can be divided in two parts, 18 and 394272, that multiplied together give a square (7096896 = 2664²).

The spelling of 18394272 in words is "eighteen million, three hundred ninety-four thousand, two hundred seventy-two".