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72107622 = 232192389103
BaseRepresentation
bin1000100110001…
…00011001100110
312000200110001200
410103010121212
5121424420442
611053303330
71533622206
oct423043146
9160613050
1072107622
1137780584
1220194b46
1311c28c42
149810406
1564e534c
hex44c4666

72107622 has 96 divisors (see below), whose sum is σ = 175219200. Its totient is φ = 21326976.

The previous prime is 72107597. The next prime is 72107627. The reversal of 72107622 is 22670127.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72107627) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 700023 + ... + 700125.

It is an arithmetic number, because the mean of its divisors is an integer number (1825200).

Almost surely, 272107622 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72107622, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87609600).

72107622 is an abundant number, since it is smaller than the sum of its proper divisors (103111578).

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

72107622 is a wasteful number, since it uses less digits than its factorization.

72107622 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 72107622 is about 8491.6206933659. The cubic root of 72107622 is about 416.2239417716.

Adding to 72107622 its reverse (22670127), we get a palindrome (94777749).

The spelling of 72107622 in words is "seventy-two million, one hundred seven thousand, six hundred twenty-two".

Divisors: 1 2 3 6 9 18 19 23 38 46 57 69 89 103 114 138 171 178 206 207 267 309 342 414 437 534 618 801 874 927 1311 1602 1691 1854 1957 2047 2369 2622 3382 3914 3933 4094 4738 5073 5871 6141 7107 7866 9167 10146 11742 12282 14214 15219 17613 18334 18423 21321 27501 30438 35226 36846 38893 42642 45011 55002 77786 82503 90022 116679 135033 165006 174173 210841 233358 270066 348346 350037 405099 421682 522519 632523 700074 810198 1045038 1265046 1567557 1897569 3135114 3795138 4005979 8011958 12017937 24035874 36053811 72107622