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72381674484 = 223277112793163
BaseRepresentation
bin100001101101001001…
…0001011001111110100
320220211101220001001200
41003122102023033310
52141214202040414
653130210252500
75141454040020
oct1033222131764
9226741801050
1072381674484
1128773628399
1212040587130
136a969b80b2
143709065380
151d39767109
hex10da48b3f4

72381674484 has 144 divisors (see below), whose sum is σ = 212280606720. Its totient is φ = 20366821440.

The previous prime is 72381674479. The next prime is 72381674527. The reversal of 72381674484 is 48447618327.

72381674484 is a `hidden beast` number, since 7 + 2 + 38 + 167 + 448 + 4 = 666.

It is a super-2 number, since 2×723816744842 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 72381674484.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22882287 + ... + 22885449.

It is an arithmetic number, because the mean of its divisors is an integer number (1474170880).

Almost surely, 272381674484 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 72381674484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106140303360).

72381674484 is an abundant number, since it is smaller than the sum of its proper divisors (139898932236).

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

72381674484 is a wasteful number, since it uses less digits than its factorization.

72381674484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4530 (or 4525 counting only the distinct ones).

The product of its digits is 7225344, while the sum is 54.

The spelling of 72381674484 in words is "seventy-two billion, three hundred eighty-one million, six hundred seventy-four thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 71 84 126 142 213 252 284 426 497 639 852 994 1278 1279 1491 1988 2556 2558 2982 3163 3837 4473 5116 5964 6326 7674 8946 8953 9489 11511 12652 15348 17892 17906 18978 22141 23022 26859 28467 35812 37956 44282 46044 53718 56934 66423 80577 88564 90809 107436 113868 132846 161154 181618 199269 224573 265692 272427 322308 363236 398538 449146 544854 635663 673719 797076 817281 898292 1089708 1271326 1347438 1572011 1634562 1906989 2021157 2542652 2694876 3144022 3269124 3813978 4042314 4045477 4716033 5720967 6288044 7627956 8084628 8090954 9432066 11441934 12136431 14148099 16181908 18864132 22883868 24272862 28296198 28318339 36409293 48545724 56592396 56636678 72818586 84955017 113273356 145637172 169910034 254865051 287228867 339820068 509730102 574457734 861686601 1019460204 1148915468 1723373202 2010602069 2585059803 3446746404 4021204138 5170119606 6031806207 8042408276 10340239212 12063612414 18095418621 24127224828 36190837242 72381674484