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72173061972 = 2232111011804507
BaseRepresentation
bin100001100110111011…
…0011000011101010100
320220021212100102111100
41003031312120131110
52140302300440342
653053355110100
75133341622204
oct1031566303524
9226255312440
1072173061972
11286768a2760
1211ba2742330
136a6270693b
1436c9480404
151d262aae4c
hex10cdd98754

72173061972 has 72 divisors (see below), whose sum is σ = 200993319072. Its totient is φ = 21654072000.

The previous prime is 72173061941. The next prime is 72173061979. The reversal of 72173061972 is 27916037127.

72173061972 is a `hidden beast` number, since 7 + 21 + 7 + 3 + 0 + 619 + 7 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72173061979) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 862258 + ... + 942249.

It is an arithmetic number, because the mean of its divisors is an integer number (2791573876).

Almost surely, 272173061972 is an apocalyptic number.

It is an amenable number.

72173061972 is an abundant number, since it is smaller than the sum of its proper divisors (128820257100).

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

72173061972 is a wasteful number, since it uses less digits than its factorization.

72173061972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1804629 (or 1804624 counting only the distinct ones).

The product of its (nonzero) digits is 222264, while the sum is 45.

The spelling of 72173061972 in words is "seventy-two billion, one hundred seventy-three million, sixty-one thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 101 132 198 202 303 396 404 606 909 1111 1212 1818 2222 3333 3636 4444 6666 9999 13332 19998 39996 1804507 3609014 5413521 7218028 10827042 16240563 19849577 21654084 32481126 39699154 59548731 64962252 79398308 119097462 178646193 182255207 238194924 357292386 364510414 546765621 714584772 729020828 1093531242 1640296863 2004807277 2187062484 3280593726 4009614554 6014421831 6561187452 8019229108 12028843662 18043265493 24057687324 36086530986 72173061972