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72712212636 = 223710339721169
BaseRepresentation
bin100001110110111111…
…1000101000010011100
320221200102212010011110
41003231333011002130
52142403311301021
653223055022020
75152606416060
oct1035577050234
9227612763143
1072712212636
112892316a618
121211320a910
136b1a318abb
14373ad07aa0
151d587a9476
hex10edfc509c

72712212636 has 96 divisors (see below), whose sum is σ = 196284175360. Its totient is φ = 20520428544.

The previous prime is 72712212613. The next prime is 72712212653. The reversal of 72712212636 is 63621221727.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 72712212594 and 72712212603.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3424260 + ... + 3445428.

Almost surely, 272712212636 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72712212636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98142087680).

72712212636 is an abundant number, since it is smaller than the sum of its proper divisors (123571962724).

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

72712212636 is a wasteful number, since it uses less digits than its factorization.

72712212636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21683 (or 21681 counting only the distinct ones).

The product of its digits is 84672, while the sum is 39.

Subtracting from 72712212636 its reverse (63621221727), we obtain a palindrome (9090990909).

The spelling of 72712212636 in words is "seventy-two billion, seven hundred twelve million, two hundred twelve thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 103 206 309 397 412 618 721 794 1191 1236 1442 1588 2163 2382 2779 2884 4326 4764 5558 8337 8652 11116 16674 21169 33348 40891 42338 63507 81782 84676 122673 127014 148183 163564 245346 254028 286237 296366 444549 490692 572474 592732 858711 889098 1144948 1717422 1778196 2180407 3434844 4360814 6541221 8404093 8721628 13082442 15262849 16808186 25212279 26164884 30525698 33616372 45788547 50424558 58828651 61051396 91577094 100849116 117657302 176485953 183154188 235314604 352971906 705943812 865621579 1731243158 2596864737 3462486316 5193729474 6059351053 10387458948 12118702106 18178053159 24237404212 36356106318 72712212636