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73212 = 2236101
BaseRepresentation
bin10001110111111100
310201102120
4101313330
54320322
61322540
7423306
oct216774
9121376
1073212
1150007
1236450
1327429
141c976
1516a5c
hex11dfc

73212 has 12 divisors (see below), whose sum is σ = 170856. Its totient is φ = 24400.

The previous prime is 73189. The next prime is 73237. The reversal of 73212 is 21237.

It is a tau number, because it is divible by the number of its divisors (12).

It is a Smith number, since the sum of its digits (15) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 73191 and 73200.

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 73212.

It is an unprimeable number.

73212 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3039 + ... + 3062.

It is an arithmetic number, because the mean of its divisors is an integer number (14238).

273212 is an apocalyptic number.

It is an amenable number.

73212 is an abundant number, since it is smaller than the sum of its proper divisors (97644).

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 (85428).

73212 is a wasteful number, since it uses less digits than its factorization.

73212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6108 (or 6106 counting only the distinct ones).

The product of its digits is 84, while the sum is 15.

The square root of 73212 is about 270.5771608987. The cubic root of 73212 is about 41.8338103926.

Adding to 73212 its reverse (21237), we get a palindrome (94449).

The spelling of 73212 in words is "seventy-three thousand, two hundred twelve", and thus it is an iban number.

Divisors: 1 2 3 4 6 12 6101 12202 18303 24404 36606 73212