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72408021196 = 2271931812083
BaseRepresentation
bin100001101101111011…
…0101011100011001100
320220220020110120221211
41003123312223203030
52141242423134241
653132551104204
75142224011420
oct1033366534314
9226806416854
1072408021196
1128787493035
1212049372064
136a9c2b1274
14370c762b80
151d3bc1d781
hex10dbdab8cc

72408021196 has 96 divisors (see below), whose sum is σ = 153778526720. Its totient is φ = 29222285760.

The previous prime is 72408021163. The next prime is 72408021199. The reversal of 72408021196 is 69112080427.

It is not an unprimeable number, because it can be changed into a prime (72408021199) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34760371 + ... + 34762453.

Almost surely, 272408021196 is an apocalyptic number.

72408021196 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72408021196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76889263360).

72408021196 is an abundant number, since it is smaller than the sum of its proper divisors (81370505524).

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

72408021196 is a wasteful number, since it uses less digits than its factorization.

72408021196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2332 (or 2292 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 40.

The spelling of 72408021196 in words is "seventy-two billion, four hundred eight million, twenty-one thousand, one hundred ninety-six".

Divisors: 1 2 4 7 14 19 28 38 76 133 181 266 361 362 532 722 724 1267 1444 2083 2527 2534 3439 4166 5054 5068 6859 6878 8332 10108 13718 13756 14581 24073 27436 29162 39577 48013 48146 58324 65341 79154 96026 96292 130682 158308 192052 261364 277039 377023 457387 554078 751963 754046 914774 1108156 1241479 1503926 1508092 1829548 2482958 2639161 3007852 4965916 5263741 5278322 7163437 8690353 10527482 10556644 14287297 14326874 17380706 21054964 28574594 28653748 34761412 50144059 57149188 100011079 100288118 136105303 200022158 200576236 272210606 400044316 544421212 952737121 1905474242 2586000757 3810948484 5172001514 10344003028 18102005299 36204010598 72408021196