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72115037060 = 225117319792269
BaseRepresentation
bin100001100101001100…
…1000010001110000100
320220010211011110021112
41003022121002032010
52140142422141220
653043523304152
75132035462313
oct1031231021604
9226124143245
1072115037060
1128647070790
1211b8721b058
136a5369b981
1436c189827a
151d211485c5
hex10ca642384

72115037060 has 96 divisors (see below), whose sum is σ = 167630601600. Its totient is φ = 25839959040.

The previous prime is 72115037041. The next prime is 72115037087. The reversal of 72115037060 is 6073051127.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 31781606 + ... + 31783874.

It is an arithmetic number, because the mean of its divisors is an integer number (1746152100).

Almost surely, 272115037060 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 72115037060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83815300800).

72115037060 is an abundant number, since it is smaller than the sum of its proper divisors (95515564540).

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

72115037060 is a wasteful number, since it uses less digits than its factorization.

72115037060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4341 (or 4339 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 32.

Adding to 72115037060 its reverse (6073051127), we get a palindrome (78188088187).

The spelling of 72115037060 in words is "seventy-two billion, one hundred fifteen million, thirty-seven thousand, sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 73 110 146 220 292 365 730 803 1460 1606 1979 2269 3212 3958 4015 4538 7916 8030 9076 9895 11345 16060 19790 21769 22690 24959 39580 43538 45380 49918 87076 99836 108845 124795 144467 165637 217690 249590 288934 331274 435380 499180 577868 662548 722335 828185 1444670 1589137 1656370 1822007 2889340 3178274 3312740 3644014 4490351 6356548 7288028 7945685 8980702 9110035 15891370 17961404 18220070 22451755 31782740 36440140 44903510 49393861 89807020 98787722 197575444 246969305 327795623 493938610 655591246 987877220 1311182492 1638978115 3277956230 3605751853 6555912460 7211503706 14423007412 18028759265 36057518530 72115037060