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72243 = 3223349
BaseRepresentation
bin10001101000110011
310200002200
4101220303
54302433
61314243
7420423
oct215063
9120080
1072243
114a306
1235983
1326b62
141c483
1516613
hex11a33

72243 has 12 divisors (see below), whose sum is σ = 109200. Its totient is φ = 45936.

The previous prime is 72229. The next prime is 72251. The reversal of 72243 is 34227.

It is a happy number.

72243 is nontrivially palindromic in base 13.

It is not a de Polignac number, because 72243 - 24 = 72227 is a prime.

72243 is a modest number, since divided by 243 gives 72 as remainder.

72243 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (72223) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33 + ... + 381.

It is an arithmetic number, because the mean of its divisors is an integer number (9100).

272243 is an apocalyptic number.

72243 is a deficient number, since it is larger than the sum of its proper divisors (36957).

72243 is a wasteful number, since it uses less digits than its factorization.

72243 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 375 counting only the distinct ones).

The product of its digits is 336, while the sum is 18.

The square root of 72243 is about 268.7805796556. The cubic root of 72243 is about 41.6484257934.

It can be divided in two parts, 7224 and 3, that added together give a palindrome (7227).

The spelling of 72243 in words is "seventy-two thousand, two hundred forty-three", and thus it is an iban number.

Divisors: 1 3 9 23 69 207 349 1047 3141 8027 24081 72243