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72221879268 = 2232711211123479
BaseRepresentation
bin100001101000011000…
…0100110101111100100
320220102021012121020100
41003100300212233210
52140402300114033
653102301304100
75134503562530
oct1032060465744
9226367177210
1072221879268
11286a1405930
1211bb6b65030
136a6c869906
1436d1b4abc0
151d2a700513
hex10d0c26be4

72221879268 has 144 divisors (see below), whose sum is σ = 228688911360. Its totient is φ = 18669873600.

The previous prime is 72221879243. The next prime is 72221879269. The reversal of 72221879268 is 86297812227.

It is not an unprimeable number, because it can be changed into a prime (72221879269) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 523153 + ... + 646631.

It is an arithmetic number, because the mean of its divisors is an integer number (1588117440).

Almost surely, 272221879268 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 72221879268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114344455680).

72221879268 is an abundant number, since it is smaller than the sum of its proper divisors (156467032092).

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

72221879268 is a wasteful number, since it uses less digits than its factorization.

72221879268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123718 (or 123713 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 54.

The spelling of 72221879268 in words is "seventy-two billion, two hundred twenty-one million, eight hundred seventy-nine thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 211 231 252 308 396 422 462 633 693 844 924 1266 1386 1477 1899 2321 2532 2772 2954 3798 4431 4642 5908 6963 7596 8862 9284 13293 13926 16247 17724 20889 26586 27852 32494 41778 48741 53172 64988 83556 97482 123479 146223 194964 246958 292446 370437 493916 584892 740874 864353 1111311 1358269 1481748 1728706 2222622 2593059 2716538 3457412 4074807 4445244 5186118 5433076 7779177 8149614 9507883 10372236 12224421 15558354 16299228 19015766 24448842 26054069 28523649 31116708 38031532 48897684 52108138 57047298 78162207 85570947 104216276 114094596 156324414 171141894 182378483 234486621 286594759 312648828 342283788 364756966 468973242 547135449 573189518 729513932 859784277 937946484 1094270898 1146379036 1641406347 1719568554 2006163313 2188541796 2579352831 3282812694 3439137108 4012326626 5158705662 6018489939 6565625388 8024653252 10317411324 12036979878 18055469817 24073959756 36110939634 72221879268