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71208 = 23322343
BaseRepresentation
bin10001011000101000
310121200100
4101120220
54234313
61305400
7414414
oct213050
9117610
1071208
1149555
1235260
1326547
141bd44
1516173
hex11628

71208 has 48 divisors (see below), whose sum is σ = 205920. Its totient is φ = 22176.

The previous prime is 71191. The next prime is 71209. The reversal of 71208 is 80217.

71208 is nontrivially palindromic in base 7.

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

It is not an unprimeable number, because it can be changed into a prime (71209) 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, 1635 + ... + 1677.

It is an arithmetic number, because the mean of its divisors is an integer number (4290).

271208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102960).

71208 is an abundant number, since it is smaller than the sum of its proper divisors (134712).

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

71208 is a wasteful number, since it uses less digits than its factorization.

71208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 71 counting only the distinct ones).

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

The square root of 71208 is about 266.8482714952. The cubic root of 71208 is about 41.4485742260.

Subtracting 71208 from its reverse (80217), we obtain a palindrome (9009).

The spelling of 71208 in words is "seventy-one thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 43 46 69 72 86 92 129 138 172 184 207 258 276 344 387 414 516 552 774 828 989 1032 1548 1656 1978 2967 3096 3956 5934 7912 8901 11868 17802 23736 35604 71208