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72303322 = 272131929103
BaseRepresentation
bin1000100111101…
…00001011011010
312001001101111211
410103310023122
5122002201242
611101413334
71535365600
oct423641332
9161041454
1072303322
11378a4613
122026a24a
1311c97040
149861870
156533317
hex44f42da

72303322 has 96 divisors (see below), whose sum is σ = 149385600. Its totient is φ = 25909632.

The previous prime is 72303307. The next prime is 72303323. The reversal of 72303322 is 22330327.

It is a junction number, because it is equal to n+sod(n) for n = 72303293 and 72303302.

It is not an unprimeable number, because it can be changed into a prime (72303323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 701923 + ... + 702025.

It is an arithmetic number, because the mean of its divisors is an integer number (1556100).

Almost surely, 272303322 is an apocalyptic number.

72303322 is an abundant number, since it is smaller than the sum of its proper divisors (77082278).

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

72303322 is a wasteful number, since it uses less digits than its factorization.

72303322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 22.

The square root of 72303322 is about 8503.1360097319. The cubic root of 72303322 is about 416.6001453982.

Adding to 72303322 its reverse (22330327), we get a palindrome (94633649).

The spelling of 72303322 in words is "seventy-two million, three hundred three thousand, three hundred twenty-two".

Divisors: 1 2 7 13 14 19 26 29 38 49 58 91 98 103 133 182 203 206 247 266 377 406 494 551 637 721 754 931 1102 1274 1339 1421 1442 1729 1862 1957 2639 2678 2842 2987 3458 3857 3914 5047 5278 5974 7163 7714 9373 10094 12103 13699 14326 18473 18746 20909 24206 25441 26999 27398 36946 38831 41818 50141 50882 53998 56753 65611 77662 95893 100282 113506 131222 146363 178087 191786 271817 292726 350987 356174 397271 543634 701974 737789 794542 1246609 1475578 1902719 2493218 2780897 3805438 5164523 5561794 10329046 36151661 72303322