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72872165943 = 33233221827
BaseRepresentation
bin100001111011110000…
…1010000001000110111
320222002120211120212000
41003313201100020313
52143220233302233
653251011230343
75156561122203
oct1036741201067
9228076746760
1072872165943
11289a548a935
12121588a83b3
136b444c1225
143754263b03
151d67852d13
hex10f7850237

72872165943 has 32 divisors (see below), whose sum is σ = 112866086400. Its totient is φ = 46468997784.

The previous prime is 72872165879. The next prime is 72872165953. The reversal of 72872165943 is 34956127827.

It is a happy number.

72872165943 is a `hidden beast` number, since 7 + 28 + 7 + 21 + 6 + 594 + 3 = 666.

It is not a de Polignac number, because 72872165943 - 26 = 72872165879 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 72872165943.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72872165953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 217596 + ... + 439422.

It is an arithmetic number, because the mean of its divisors is an integer number (3527065200).

Almost surely, 272872165943 is an apocalyptic number.

72872165943 is a deficient number, since it is larger than the sum of its proper divisors (39993920457).

72872165943 is an equidigital number, since it uses as much as digits as its factorization.

72872165943 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221905 (or 221853 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 54.

The spelling of 72872165943 in words is "seventy-two billion, eight hundred seventy-two million, one hundred sixty-five thousand, nine hundred forty-three".

Divisors: 1 3 9 23 27 69 207 529 621 1587 4761 12167 14283 36501 109503 221827 328509 665481 1996443 5102021 5989329 15306063 45918189 117346483 137754567 352039449 1056118347 2698969109 3168355041 8096907327 24290721981 72872165943