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72112068924 = 2237320818419
BaseRepresentation
bin100001100101000110…
…1101101100100111100
320220010121120122202120
41003022031231210330
52140141142201144
653043335522540
75132001321000
oct1031215554474
9226117518676
1072112068924
1128645423785
1211b86229450
136a52b9c98c
1436c1324700
151d20c5de19
hex10ca36d93c

72112068924 has 96 divisors (see below), whose sum is σ = 196340928000. Its totient is φ = 20591101440.

The previous prime is 72112068907. The next prime is 72112068947. The reversal of 72112068924 is 42986021127.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8561187 + ... + 8569605.

It is an arithmetic number, because the mean of its divisors is an integer number (2045218000).

Almost surely, 272112068924 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 72112068924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98170464000).

72112068924 is an abundant number, since it is smaller than the sum of its proper divisors (124228859076).

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

72112068924 is a wasteful number, since it uses less digits than its factorization.

72112068924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10528 (or 10512 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The spelling of 72112068924 in words is "seventy-two billion, one hundred twelve million, sixty-eight thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 343 588 686 1029 1372 2058 2081 4116 4162 6243 8324 8419 12486 14567 16838 24972 25257 29134 33676 43701 50514 58268 58933 87402 101028 101969 117866 174804 176799 203938 235732 305907 353598 407876 412531 611814 707196 713783 825062 1223628 1237593 1427566 1650124 2141349 2475186 2855132 2887717 4282698 4950372 5775434 8565396 8663151 11550868 17326302 17519939 34652604 35039878 52559817 70079756 105119634 122639573 210239268 245279146 367918719 490558292 735837438 858477011 1471674876 1716954022 2575431033 3433908044 5150862066 6009339077 10301724132 12018678154 18028017231 24037356308 36056034462 72112068924