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72639369 = 33111311867
BaseRepresentation
bin1000101010001…
…10001110001001
312001200110111000
410111012032021
5122043424434
611112525213
71541265405
oct425061611
9161613430
1072639369
1138004040
12203b0809
1312083c9a
14990c105
15659cb99
hex4546389

72639369 has 32 divisors (see below), whose sum is σ = 118356480. Its totient is φ = 43664400.

The previous prime is 72639367. The next prime is 72639373. The reversal of 72639369 is 96393627.

72639369 is a `hidden beast` number, since 7 + 2 + 639 + 3 + 6 + 9 = 666.

It is not a de Polignac number, because 72639369 - 21 = 72639367 is a prime.

It is a super-2 number, since 2×726393692 = 10552955857436322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (72639361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37974 + ... + 39840.

It is an arithmetic number, because the mean of its divisors is an integer number (3698640).

Almost surely, 272639369 is an apocalyptic number.

It is an amenable number.

72639369 is a deficient number, since it is larger than the sum of its proper divisors (45717111).

72639369 is a wasteful number, since it uses less digits than its factorization.

72639369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2018 (or 2012 counting only the distinct ones).

The product of its digits is 367416, while the sum is 45.

The square root of 72639369 is about 8522.8732831129. The cubic root of 72639369 is about 417.2445643694.

The spelling of 72639369 in words is "seventy-two million, six hundred thirty-nine thousand, three hundred sixty-nine".

Divisors: 1 3 9 11 27 33 99 131 297 393 1179 1441 1867 3537 4323 5601 12969 16803 20537 38907 50409 61611 184833 244577 554499 733731 2201193 2690347 6603579 8071041 24213123 72639369