Search a number
-
+
72184 = 2371289
BaseRepresentation
bin10001100111111000
310200000111
4101213320
54302214
61314104
7420310
oct214770
9120014
1072184
114a262
1235934
1326b18
141c440
15165c4
hex119f8

72184 has 16 divisors (see below), whose sum is σ = 154800. Its totient is φ = 30912.

The previous prime is 72173. The next prime is 72211. The reversal of 72184 is 48127.

It can be divided in two parts, 72 and 184, that added together give a 8-th power (256 = 28).

It is a nude number because it is divisible by every one of its digits.

It is one of the 548 Lynch-Bell numbers.

It is a congruent number.

It is an unprimeable number.

72184 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 3 ways as a sum of consecutive naturals, for example, 589 + ... + 700.

It is an arithmetic number, because the mean of its divisors is an integer number (9675).

272184 is an apocalyptic number.

It is an amenable number.

72184 is an abundant number, since it is smaller than the sum of its proper divisors (82616).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77400).

72184 is a wasteful number, since it uses less digits than its factorization.

72184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1302 (or 1298 counting only the distinct ones).

The product of its digits is 448, while the sum is 22.

The square root of 72184 is about 268.6708022841. The cubic root of 72184 is about 41.6370847806.

The spelling of 72184 in words is "seventy-two thousand, one hundred eighty-four".

Divisors: 1 2 4 7 8 14 28 56 1289 2578 5156 9023 10312 18046 36092 72184