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72995906112 = 2636728320051
BaseRepresentation
bin100001111111011100…
…1010010001001000000
320222102012200020110020
41003332321102021000
52143443422443422
653311151333440
75162622651543
oct1037671221100
9228365606406
1072995906112
1128a59316738
1212192221280
136b6402766c
14376687485a
151d7364695c
hex10fee52240

72995906112 has 112 divisors (see below), whose sum is σ = 196720065792. Its totient is φ = 23882918400.

The previous prime is 72995906111. The next prime is 72995906131. The reversal of 72995906112 is 21160959927.

It is a super-2 number, since 2×729959061122 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (72995906111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3630487 + ... + 3650537.

Almost surely, 272995906112 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 72995906112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98360032896).

72995906112 is an abundant number, since it is smaller than the sum of its proper divisors (123724159680).

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

72995906112 is a wasteful number, since it uses less digits than its factorization.

72995906112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20416 (or 20406 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 51.

The spelling of 72995906112 in words is "seventy-two billion, nine hundred ninety-five million, nine hundred six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 67 96 134 192 201 268 283 402 536 566 804 849 1072 1132 1608 1698 2144 2264 3216 3396 4288 4528 6432 6792 9056 12864 13584 18112 18961 20051 27168 37922 40102 54336 56883 60153 75844 80204 113766 120306 151688 160408 227532 240612 303376 320816 455064 481224 606752 641632 910128 962448 1213504 1283264 1343417 1820256 1924896 2686834 3640512 3849792 4030251 5373668 5674433 8060502 10747336 11348866 16121004 17023299 21494672 22697732 32242008 34046598 42989344 45395464 64484016 68093196 85978688 90790928 128968032 136186392 181581856 257936064 272372784 363163712 380187011 544745568 760374022 1089491136 1140561033 1520748044 2281122066 3041496088 4562244132 6082992176 9124488264 12165984352 18248976528 24331968704 36497953056 72995906112