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72770238720 = 283256316861
BaseRepresentation
bin100001111000101110…
…0011011100100000000
320221211111001010222200
41003301130123210000
52143013140114340
653232530433200
75154212552244
oct1036134334400
9227744033880
1072770238720
11289529a2463
121212a732800
136b2935446a
1437448d0424
151d5d91c330
hex10f171b900

72770238720 has 108 divisors (see below), whose sum is σ = 251777485596. Its totient is φ = 19405393920.

The previous prime is 72770238647. The next prime is 72770238757. The reversal of 72770238720 is 2783207727.

It can be written as a sum of positive squares in 2 ways, for example, as 45994807296 + 26775431424 = 214464^2 + 163632^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3146911 + ... + 3169950.

Almost surely, 272770238720 is an apocalyptic number.

It is an amenable number.

72770238720 is an abundant number, since it is smaller than the sum of its proper divisors (179007246876).

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

72770238720 is a wasteful number, since it uses less digits than its factorization.

72770238720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6316888 (or 6316871 counting only the distinct ones).

The product of its (nonzero) digits is 460992, while the sum is 45.

The spelling of 72770238720 in words is "seventy-two billion, seven hundred seventy million, two hundred thirty-eight thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 576 640 720 768 960 1152 1280 1440 1920 2304 2880 3840 5760 11520 6316861 12633722 18950583 25267444 31584305 37901166 50534888 56851749 63168610 75802332 94752915 101069776 113703498 126337220 151604664 189505830 202139552 227406996 252674440 284258745 303209328 379011660 404279104 454813992 505348880 568517490 606418656 758023320 808558208 909627984 1010697760 1137034980 1212837312 1516046640 1617116416 1819255968 2021395520 2274069960 2425674624 3032093280 3638511936 4042791040 4548139920 4851349248 6064186560 7277023872 8085582080 9096279840 12128373120 14554047744 18192559680 24256746240 36385119360 72770238720