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72463478040 = 2334522365271
BaseRepresentation
bin100001101111100101…
…0001110110100011000
320221001002211002110000
41003133022032310120
52141401122244130
653142251453000
75143466254242
oct1033712166430
9227032732400
1072463478040
1128805820638
1212063a57160
136aaa92a375
143715c7b092
151d41a25260
hex10df28ed18

72463478040 has 80 divisors (see below), whose sum is σ = 243557812080. Its totient is φ = 19323593280.

The previous prime is 72463478029. The next prime is 72463478053. The reversal of 72463478040 is 4087436427.

72463478040 is a `hidden beast` number, since 7 + 2 + 4 + 634 + 7 + 8 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11179396 + ... + 11185875.

It is an arithmetic number, because the mean of its divisors is an integer number (3044472651).

Almost surely, 272463478040 is an apocalyptic number.

It is an amenable number.

72463478040 is an abundant number, since it is smaller than the sum of its proper divisors (171094334040).

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

72463478040 is a wasteful number, since it uses less digits than its factorization.

72463478040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22365294 (or 22365281 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The spelling of 72463478040 in words is "seventy-two billion, four hundred sixty-three million, four hundred seventy-eight thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 22365271 44730542 67095813 89461084 111826355 134191626 178922168 201287439 223652710 268383252 335479065 402574878 447305420 536766504 603862317 670958130 805149756 894610840 1006437195 1207724634 1341916260 1610299512 1811586951 2012874390 2415449268 2683832520 3019311585 3623173902 4025748780 4830898536 6038623170 7246347804 8051497560 9057934755 12077246340 14492695608 18115869510 24154492680 36231739020 72463478040