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72723452672 = 281326612543
BaseRepresentation
bin100001110111010100…
…1111101001100000000
320221201020000011121002
41003232221331030000
52142414200441142
653224135551132
75153104101623
oct1035651751400
9227636004532
1072723452672
1128929547402
1212116b2b4a8
136b1c752c00
14373c5d1dba
151d59779a32
hex10eea7d300

72723452672 has 108 divisors (see below), whose sum is σ = 157487861664. Its totient is φ = 33500712960.

The previous prime is 72723452663. The next prime is 72723452693. The reversal of 72723452672 is 27625432727.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28596233 + ... + 28598775.

Almost surely, 272723452672 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 72723452672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78743930832).

72723452672 is an abundant number, since it is smaller than the sum of its proper divisors (84764408992).

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

72723452672 is a wasteful number, since it uses less digits than its factorization.

72723452672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3246 (or 3219 counting only the distinct ones).

The product of its digits is 1975680, while the sum is 47.

The spelling of 72723452672 in words is "seventy-two billion, seven hundred twenty-three million, four hundred fifty-two thousand, six hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 169 208 256 338 416 661 676 832 1322 1352 1664 2543 2644 2704 3328 5086 5288 5408 8593 10172 10576 10816 17186 20344 21152 21632 33059 34372 40688 42304 43264 66118 68744 81376 84608 111709 132236 137488 162752 169216 223418 264472 274976 325504 429767 446836 528944 549952 651008 859534 893672 1057888 1099904 1680923 1719068 1787344 2115776 2199808 3361846 3438136 3574688 4231552 6723692 6876272 7149376 8463104 13447384 13752544 14298752 21851999 26894768 27505088 28597504 43703998 53789536 55010176 87407996 107579072 110020352 174815992 215158144 284075987 349631984 430316288 568151974 699263968 1136303948 1398527936 2272607896 2797055872 4545215792 5594111744 9090431584 18180863168 36361726336 72723452672