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72075848075 = 52721123313743
BaseRepresentation
bin100001100100000001…
…1100010100110001011
320220001002102110002122
41003020003202212023
52140102404114300
653040003321455
75131051412600
oct1031003424613
9226032373078
1072075848075
1128626a344a0
1211b7608028b
136a4852a31a
1436ba5b66a7
151d1c9a6c85
hex10c80e298b

72075848075 has 144 divisors (see below), whose sum is σ = 118886247936. Its totient is φ = 42781939200.

The previous prime is 72075848057. The next prime is 72075848077. The reversal of 72075848075 is 57084857027.

It is not a de Polignac number, because 72075848075 - 26 = 72075848011 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72075848077) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 97006154 + ... + 97006896.

It is an arithmetic number, because the mean of its divisors is an integer number (825598944).

Almost surely, 272075848075 is an apocalyptic number.

72075848075 is a deficient number, since it is larger than the sum of its proper divisors (46810399861).

72075848075 is a wasteful number, since it uses less digits than its factorization.

72075848075 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1114 (or 1102 counting only the distinct ones).

The product of its (nonzero) digits is 4390400, while the sum is 53.

The spelling of 72075848075 in words is "seventy-two billion, seventy-five million, eight hundred forty-eight thousand, seventy-five".

Divisors: 1 5 7 11 23 25 35 49 55 77 115 161 175 245 253 275 313 385 539 575 743 805 1127 1225 1265 1565 1771 1925 2191 2695 3443 3715 4025 5201 5635 6325 7199 7825 8173 8855 10955 12397 13475 15337 17089 17215 18575 24101 26005 28175 35995 36407 40865 44275 50393 54775 57211 61985 76685 79189 85445 86075 119623 120505 130025 168707 179975 182035 187979 204325 232559 251965 286055 309925 352751 383425 395945 400477 427225 554323 598115 602525 837361 843535 910175 939895 1162795 1259825 1315853 1430275 1627913 1763755 1979725 2002385 2558149 2771615 2990575 3880261 4186805 4217675 4699475 5348857 5813975 6579265 8139565 8818775 9210971 10011925 11395391 12790745 13858075 17907043 19401305 20934025 26744285 32896325 37441999 40697825 46054855 56976955 58837427 63953725 89535215 97006525 125349301 133721425 187209995 230274275 262093993 284884775 294187135 411861989 447676075 626746505 936049975 1310469965 1470935675 2059309945 2883033923 3133732525 6552349825 10296549725 14415169615 72075848075