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72765678000 = 2435317713389
BaseRepresentation
bin100001111000100101…
…1000010000110110000
320221211011110102212010
41003301023002012300
52143011003144000
653232245002520
75154126025551
oct1036113020660
9227734412763
1072765678000
1128950367974
12121290b3440
136b28418602
143744064328
151d5d31ad50
hex10f12c21b0

72765678000 has 160 divisors (see below), whose sum is σ = 248396690880. Its totient is φ = 18262732800.

The previous prime is 72765677977. The next prime is 72765678001. The reversal of 72765678000 is 87656727.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (72765678001) 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, 254695 + ... + 458694.

It is an arithmetic number, because the mean of its divisors is an integer number (1552479318).

Almost surely, 272765678000 is an apocalyptic number.

It is an amenable number.

72765678000 is an abundant number, since it is smaller than the sum of its proper divisors (175631012880).

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

72765678000 is a wasteful number, since it uses less digits than its factorization.

72765678000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 713432 (or 713416 counting only the distinct ones).

The product of its (nonzero) digits is 987840, while the sum is 48.

The spelling of 72765678000 in words is "seventy-two billion, seven hundred sixty-five million, six hundred seventy-eight thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 25 30 34 40 48 50 51 60 68 75 80 85 100 102 120 125 136 150 170 200 204 240 250 255 272 300 340 375 400 408 425 500 510 600 680 750 816 850 1000 1020 1200 1275 1360 1500 1700 2000 2040 2125 2550 3000 3400 4080 4250 5100 6000 6375 6800 8500 10200 12750 17000 20400 25500 34000 51000 102000 713389 1426778 2140167 2853556 3566945 4280334 5707112 7133890 8560668 10700835 11414224 12127613 14267780 17121336 17834725 21401670 24255226 28535560 34242672 35669450 36382839 42803340 48510452 53504175 57071120 60638065 71338900 72765678 85606680 89173625 97020904 107008350 121276130 142677800 145531356 171213360 178347250 181914195 194041808 214016700 242552260 267520875 285355600 291062712 303190325 356694500 363828390 428033400 485104520 535041750 582125424 606380650 713389000 727656780 856066800 909570975 970209040 1070083500 1212761300 1426778000 1455313560 1515951625 1819141950 2140167000 2425522600 2910627120 3031903250 3638283900 4280334000 4547854875 4851045200 6063806500 7276567800 9095709750 12127613000 14553135600 18191419500 24255226000 36382839000 72765678000