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72216060 = 223571391237
BaseRepresentation
bin1000100110111…
…10110111111100
312000212221210220
410103132313330
5121441403220
611055501340
71534553310
oct423366774
9160787726
1072216060
1137844aa4
1220227850
1311c663c7
14983bb40
156517540
hex44dedfc

72216060 has 96 divisors (see below), whose sum is σ = 232942080. Its totient is φ = 16374528.

The previous prime is 72216043. The next prime is 72216071. The reversal of 72216060 is 6061227.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 72216060.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57762 + ... + 58998.

It is an arithmetic number, because the mean of its divisors is an integer number (2426480).

Almost surely, 272216060 is an apocalyptic number.

72216060 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72216060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116471040).

72216060 is an abundant number, since it is smaller than the sum of its proper divisors (160726020).

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

72216060 is a wasteful number, since it uses less digits than its factorization.

72216060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1395 (or 1393 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 72216060 is about 8498.0032948923. The cubic root of 72216060 is about 416.4324813798.

Adding to 72216060 its reverse (6061227), we get a palindrome (78277287).

The spelling of 72216060 in words is "seventy-two million, two hundred sixteen thousand, sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 139 140 210 278 417 420 556 695 834 973 1237 1390 1668 1946 2085 2474 2780 2919 3711 3892 4170 4865 4948 5838 6185 7422 8340 8659 9730 11676 12370 14595 14844 17318 18555 19460 24740 25977 29190 34636 37110 43295 51954 58380 74220 86590 103908 129885 171943 173180 259770 343886 515829 519540 687772 859715 1031658 1203601 1719430 2063316 2407202 2579145 3438860 3610803 4814404 5158290 6018005 7221606 10316580 12036010 14443212 18054015 24072020 36108030 72216060