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72720654912 = 2632126251137
BaseRepresentation
bin100001110111001111…
…1010010001001000000
320221201000202000210100
41003232133102021000
52142412441424122
653224000002400
75153041240113
oct1035637221100
9227630660710
1072720654912
1128927a06404
1212116000400
136b1bcb3629
14373c0a457a
151d593c5aac
hex10ee7d2240

72720654912 has 42 divisors (see below), whose sum is σ = 208440628838. Its totient is φ = 24240218112.

The previous prime is 72720654889. The next prime is 72720654971. The reversal of 72720654912 is 21945602727.

72720654912 is a `hidden beast` number, since 72 + 7 + 20 + 6 + 549 + 12 = 666.

It can be written as a sum of positive squares in only one way, i.e., 68233798656 + 4486856256 = 261216^2 + 66984^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 63124993 + ... + 63126144.

Almost surely, 272720654912 is an apocalyptic number.

72720654912 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

72720654912 is an abundant number, since it is smaller than the sum of its proper divisors (135719973926).

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

72720654912 is a wasteful number, since it uses less digits than its factorization.

72720654912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126251155 (or 126251142 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 72720654912 in words is "seventy-two billion, seven hundred twenty million, six hundred fifty-four thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 126251137 252502274 378753411 505004548 757506822 1010009096 1136260233 1515013644 2020018192 2272520466 3030027288 4040036384 4545040932 6060054576 8080072768 9090081864 12120109152 18180163728 24240218304 36360327456 72720654912