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72760667430 = 23511231164451
BaseRepresentation
bin100001111000011011…
…1111010110100100110
320221210211000212122110
41003300313322310212
52143003212324210
653231545341450
75154035316513
oct1036067726446
9227724025573
1072760667430
1128948555400
1212127497886
136b27382a89
14374351c30a
151d5cb7b420
hex10f0dfad26

72760667430 has 96 divisors (see below), whose sum is σ = 192564013824. Its totient is φ = 17581960000.

The previous prime is 72760667377. The next prime is 72760667449. The reversal of 72760667430 is 3476606727.

It is a super-2 number, since 2×727606674302 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 72760667430.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1096705 + ... + 1161155.

It is an arithmetic number, because the mean of its divisors is an integer number (2005875144).

Almost surely, 272760667430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72760667430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96282006912).

72760667430 is an abundant number, since it is smaller than the sum of its proper divisors (119803346394).

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

72760667430 is a wasteful number, since it uses less digits than its factorization.

72760667430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64794 (or 64783 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 48.

The spelling of 72760667430 in words is "seventy-two billion, seven hundred sixty million, six hundred sixty-seven thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 121 165 242 311 330 363 605 622 726 933 1210 1555 1815 1866 3110 3421 3630 4665 6842 9330 10263 17105 20526 34210 37631 51315 64451 75262 102630 112893 128902 188155 193353 225786 322255 376310 386706 564465 644510 708961 966765 1128930 1417922 1933530 2126883 3544805 4253766 7089610 7798571 10634415 15597142 20044261 21268830 23395713 38992855 40088522 46791426 60132783 77985710 100221305 116978565 120265566 200442610 220486871 233957130 300663915 440973742 601327830 661460613 1102434355 1322921226 2204868710 2425355581 3307303065 4850711162 6614606130 7276066743 12126777905 14552133486 24253555810 36380333715 72760667430