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72397149440 = 285711734549
BaseRepresentation
bin100001101101100110…
…1001101010100000000
320220212111000020201012
41003123031031110000
52141232132240230
653131522100052
75142032421350
oct1033315152400
9226774006635
1072397149440
1128781337a10
12120457aa628
136a99c75985
14370b132b60
151d3acc2395
hex10db34d500

72397149440 has 144 divisors (see below), whose sum is σ = 216204508800. Its totient is φ = 22565314560.

The previous prime is 72397149401. The next prime is 72397149443. The reversal of 72397149440 is 4494179327.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72397149443) 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, 268715 + ... + 465834.

It is an arithmetic number, because the mean of its divisors is an integer number (1501420200).

Almost surely, 272397149440 is an apocalyptic number.

72397149440 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

72397149440 is an abundant number, since it is smaller than the sum of its proper divisors (143807359360).

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

72397149440 is a wasteful number, since it uses less digits than its factorization.

72397149440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734588 (or 734574 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 50.

The spelling of 72397149440 in words is "seventy-two billion, three hundred ninety-seven million, one hundred forty-nine thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 64 70 77 80 88 110 112 128 140 154 160 176 220 224 256 280 308 320 352 385 440 448 560 616 640 704 770 880 896 1120 1232 1280 1408 1540 1760 1792 2240 2464 2816 3080 3520 4480 4928 6160 7040 8960 9856 12320 14080 19712 24640 49280 98560 734549 1469098 2938196 3672745 5141843 5876392 7345490 8080039 10283686 11752784 14690980 16160078 20567372 23505568 25709215 29381960 32320156 40400195 41134744 47011136 51418430 56560273 58763920 64640312 80800390 82269488 94022272 102836860 113120546 117527840 129280624 161600780 164538976 188044544 205673720 226241092 235055680 258561248 282801365 323201560 329077952 411347440 452482184 470111360 517122496 565602730 646403120 658155904 822694880 904964368 940222720 1034244992 1131205460 1292806240 1316311808 1645389760 1809928736 2068489984 2262410920 2585612480 3290779520 3619857472 4524821840 5171224960 6581559040 7239714944 9049643680 10342449920 14479429888 18099287360 36198574720 72397149440