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72660226044 = 223722937911243
BaseRepresentation
bin100001110101011100…
…0110000111111111100
320221112211000220222010
41003222320300333330
52142302004213134
653214000451220
75151405505500
oct1035270607774
9227484026863
1072660226044
11288a689229a
12120b9919b10
136b0c6163c3
143734054300
151d53e3ace9
hex10eae30ffc

72660226044 has 144 divisors (see below), whose sum is σ = 204577833600. Its totient is φ = 19989535104.

The previous prime is 72660226019. The next prime is 72660226081. The reversal of 72660226044 is 44062206627.

It is a junction number, because it is equal to n+sod(n) for n = 72660225993 and 72660226011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6457087 + ... + 6468329.

It is an arithmetic number, because the mean of its divisors is an integer number (1420679400).

Almost surely, 272660226044 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 72660226044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102288916800).

72660226044 is an abundant number, since it is smaller than the sum of its proper divisors (131917607556).

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

72660226044 is a wasteful number, since it uses less digits than its factorization.

72660226044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11672 (or 11663 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 39.

The spelling of 72660226044 in words is "seventy-two billion, six hundred sixty million, two hundred twenty-six thousand, forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 49 58 84 87 98 116 147 174 196 203 294 348 379 406 588 609 758 812 1137 1218 1421 1516 2274 2436 2653 2842 4263 4548 5306 5684 7959 8526 10612 10991 11243 15918 17052 18571 21982 22486 31836 32973 33729 37142 43964 44972 55713 65946 67458 74284 76937 78701 111426 131892 134916 153874 157402 222852 230811 236103 307748 314804 326047 461622 472206 538559 550907 652094 923244 944412 978141 1077118 1101814 1304188 1615677 1652721 1956282 2154236 2203628 2282329 3231354 3305442 3912564 4261097 4564658 6462708 6610884 6846987 8522194 9129316 12783291 13693974 15976303 17044388 25566582 27387948 29827679 31952606 47928909 51133164 59655358 63905212 89483037 95857818 119310716 123571813 178966074 191715636 208793753 247143626 357932148 370715439 417587506 494287252 626381259 741430878 835175012 865002691 1252762518 1482861756 1730005382 2505525036 2595008073 3460010764 5190016146 6055018837 10380032292 12110037674 18165056511 24220075348 36330113022 72660226044