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18072 = 2332251
BaseRepresentation
bin100011010011000
3220210100
410122120
51034242
6215400
7103455
oct43230
926710
1018072
111263a
12a560
1382c2
14682c
15554c
hex4698

18072 has 24 divisors (see below), whose sum is σ = 49140. Its totient is φ = 6000.

The previous prime is 18061. The next prime is 18077. The reversal of 18072 is 27081.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 18072.

It is not an unprimeable number, because it can be changed into a prime (18077) by changing a digit.

18072 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 54 + ... + 197.

218072 is an apocalyptic number.

18072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

18072 is an abundant number, since it is smaller than the sum of its proper divisors (31068).

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

18072 is a wasteful number, since it uses less digits than its factorization.

18072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 18072 is about 134.4321390144. The cubic root of 18072 is about 26.2423106730.

Subtracting 18072 from its reverse (27081), we obtain a palindrome (9009).

It can be divided in two parts, 180 and 72, that added together give a palindrome (252).

The spelling of 18072 in words is "eighteen thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 251 502 753 1004 1506 2008 2259 3012 4518 6024 9036 18072