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72023220522 = 23511112911933
BaseRepresentation
bin100001100010011101…
…0110010000100101010
320212220102101200200000
41003010322302010222
52140000421024042
653030443323430
75126542162521
oct1030472620452
9225812350600
1072023220522
11285aa259650
1211b60520576
136a3a661c66
1436b35d74b8
151d1805d74c
hex10c4eb212a

72023220522 has 96 divisors (see below), whose sum is σ = 176712943680. Its totient is φ = 21804059520.

The previous prime is 72023220497. The next prime is 72023220569. The reversal of 72023220522 is 22502232027.

It is a super-3 number, since 3×720232205223 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 6029668 + ... + 6041600.

It is an arithmetic number, because the mean of its divisors is an integer number (1840759830).

Almost surely, 272023220522 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72023220522, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88356471840).

72023220522 is an abundant number, since it is smaller than the sum of its proper divisors (104689723158).

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

72023220522 is a wasteful number, since it uses less digits than its factorization.

72023220522 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13090 (or 13078 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

Adding to 72023220522 its reverse (22502232027), we get a palindrome (94525452549).

The spelling of 72023220522 in words is "seventy-two billion, twenty-three million, two hundred twenty thousand, five hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 243 297 486 594 891 1129 1782 2258 2673 3387 5346 6774 10161 11933 12419 20322 23866 24838 30483 35799 37257 60966 71598 74514 91449 107397 111771 131263 182898 214794 223542 262526 274347 322191 335313 393789 548694 644382 670626 787578 966573 1005939 1181367 1933146 2011878 2362734 2899719 3017817 3544101 5799438 6035634 7088202 10632303 13472357 21264606 26944714 31896909 40417071 63793818 80834142 121251213 148195927 242502426 296391854 363753639 444587781 727507278 889175562 1091260917 1333763343 2182521834 2667526686 3273782751 4001290029 6547565502 8002580058 12003870087 24007740174 36011610261 72023220522