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72221678568 = 233313115322307
BaseRepresentation
bin100001101000010111…
…1110101101111101000
320220102020211101221000
41003100233311233220
52140402222203233
653102253115000
75134502065434
oct1032057655750
9226366741830
1072221678568
11286a1289066
1211bb6a88a60
136a6c7c9460
1436d1ad79c4
151d2a6b0d13
hex10d0bf5be8

72221678568 has 128 divisors (see below), whose sum is σ = 216244828800. Its totient is φ = 22201786368.

The previous prime is 72221678549. The next prime is 72221678597. The reversal of 72221678568 is 86587612227.

72221678568 is a `hidden beast` number, since 7 + 2 + 2 + 2 + 1 + 6 + 78 + 568 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3226471 + ... + 3248777.

It is an arithmetic number, because the mean of its divisors is an integer number (1689412725).

Almost surely, 272221678568 is an apocalyptic number.

72221678568 is a gapful number since it is divisible by the number (78) 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 72221678568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108122414400).

72221678568 is an abundant number, since it is smaller than the sum of its proper divisors (144023150232).

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

72221678568 is a wasteful number, since it uses less digits than its factorization.

72221678568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23488 (or 23478 counting only the distinct ones).

The product of its digits is 4515840, while the sum is 54.

The spelling of 72221678568 in words is "seventy-two billion, two hundred twenty-one million, six hundred seventy-eight thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 234 312 351 468 702 936 1153 1404 2306 2808 3459 4612 6918 9224 10377 13836 14989 20754 22307 27672 29978 31131 41508 44614 44967 59956 62262 66921 83016 89228 89934 119912 124524 133842 134901 178456 179868 200763 249048 267684 269802 289991 359736 401526 404703 535368 539604 579982 602289 803052 809406 869973 1079208 1159964 1204578 1606104 1618812 1739946 2319928 2409156 2609919 3237624 3479892 4818312 5219838 6959784 7829757 10439676 15659514 20879352 25719971 31319028 51439942 62638056 77159913 102879884 154319826 205759768 231479739 308639652 334359623 462959478 617279304 668719246 694439217 925918956 1003078869 1337438492 1388878434 1851837912 2006157738 2674876984 2777756868 3009236607 4012315476 5555513736 6018473214 8024630952 9027709821 12036946428 18055419642 24073892856 36110839284 72221678568