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72816877065 = 3526335352289
BaseRepresentation
bin100001111010000111…
…0010101111000001001
320221221201210121202210
41003310032111320021
52143112110031230
653241314215333
75155320146142
oct1036416257011
9227851717683
1072816877065
1128977257549
1212142284549
136b35c0370a
14374ab90ac9
151d62a80eb0
hex10f4395e09

72816877065 has 32 divisors (see below), whose sum is σ = 117283541760. Its totient is φ = 38577668096.

The previous prime is 72816877061. The next prime is 72816877127. The reversal of 72816877065 is 56077861827.

It is a cyclic number.

It is not a de Polignac number, because 72816877065 - 22 = 72816877061 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 72816876996 and 72816877014.

It is not an unprimeable number, because it can be changed into a prime (72816877061) 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, 1366441 + ... + 1418729.

It is an arithmetic number, because the mean of its divisors is an integer number (3665110680).

Almost surely, 272816877065 is an apocalyptic number.

It is an amenable number.

72816877065 is a deficient number, since it is larger than the sum of its proper divisors (44466664695).

72816877065 is a wasteful number, since it uses less digits than its factorization.

72816877065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52913.

The product of its (nonzero) digits is 7902720, while the sum is 57.

The spelling of 72816877065 in words is "seventy-two billion, eight hundred sixteen million, eight hundred seventy-seven thousand, sixty-five".

Divisors: 1 3 5 15 263 353 789 1059 1315 1765 3945 5295 52289 92839 156867 261445 278517 464195 784335 1392585 13752007 18458017 41256021 55374051 68760035 92290085 206280105 276870255 4854458471 14563375413 24272292355 72816877065