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72288675030 = 235111322973583
BaseRepresentation
bin100001101010010111…
…1011010010011010110
320220120220220011210110
41003110233122103112
52141021400100110
653113045103450
75136244412415
oct1032457322326
9226526804713
1072288675030
1128726088540
12120153b7b86
136a80655b30
1436da97747c
151d314e6a20
hex10d4bda4d6

72288675030 has 128 divisors (see below), whose sum is σ = 204716574720. Its totient is φ = 16105628160.

The previous prime is 72288675029. The next prime is 72288675031. The reversal of 72288675030 is 3057688227.

It is an interprime number because it is at equal distance from previous prime (72288675029) and next prime (72288675031).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72288675031) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 945619 + ... + 1019201.

It is an arithmetic number, because the mean of its divisors is an integer number (1599348240).

Almost surely, 272288675030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72288675030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102358287360).

72288675030 is an abundant number, since it is smaller than the sum of its proper divisors (132427899690).

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

72288675030 is a wasteful number, since it uses less digits than its factorization.

72288675030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73846.

The product of its (nonzero) digits is 1128960, while the sum is 48.

The spelling of 72288675030 in words is "seventy-two billion, two hundred eighty-eight million, six hundred seventy-five thousand, thirty".

Divisors: 1 2 3 5 6 10 11 13 15 22 26 30 33 39 55 65 66 78 110 130 143 165 195 229 286 330 390 429 458 687 715 858 1145 1374 1430 2145 2290 2519 2977 3435 4290 5038 5954 6870 7557 8931 12595 14885 15114 17862 25190 29770 32747 37785 44655 65494 73583 75570 89310 98241 147166 163735 196482 220749 327470 367915 441498 491205 735830 809413 956579 982410 1103745 1618826 1913158 2207490 2428239 2869737 4047065 4782895 4856478 5739474 8094130 9565790 10522369 12141195 14348685 16850507 21044738 24282390 28697370 31567107 33701014 50551521 52611845 63134214 84252535 101103042 105223690 157835535 168505070 185355577 219056591 252757605 315671070 370711154 438113182 505515210 556066731 657169773 926777885 1095282955 1112133462 1314339546 1853555770 2190565910 2409622501 2780333655 3285848865 4819245002 5560667310 6571697730 7228867503 12048112505 14457735006 24096225010 36144337515 72288675030