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72116432528 = 2471973464237
BaseRepresentation
bin100001100101001111…
…0010110111010010000
320220010220210100111112
41003022132112322100
52140143301320103
653044013232452
75132053363610
oct1031236267220
9226126710445
1072116432528
1128647934168
1211b87792728
136a53a69baa
1436c1b3ca40
151d21321cd8
hex10ca796e90

72116432528 has 80 divisors (see below), whose sum is σ = 170393915520. Its totient is φ = 28879193088.

The previous prime is 72116432497. The next prime is 72116432543. The reversal of 72116432528 is 82523461127.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76775 + ... + 387462.

It is an arithmetic number, because the mean of its divisors is an integer number (2129923944).

Almost surely, 272116432528 is an apocalyptic number.

It is an amenable number.

72116432528 is an abundant number, since it is smaller than the sum of its proper divisors (98277482992).

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

72116432528 is a wasteful number, since it uses less digits than its factorization.

72116432528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464344 (or 464338 counting only the distinct ones).

The product of its digits is 161280, while the sum is 41.

The spelling of 72116432528 in words is "seventy-two billion, one hundred sixteen million, four hundred thirty-two thousand, five hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 19 28 38 56 73 76 112 133 146 152 266 292 304 511 532 584 1022 1064 1168 1387 2044 2128 2774 4088 5548 8176 9709 11096 19418 22192 38836 77672 155344 464237 928474 1856948 3249659 3713896 6499318 7427792 8820503 12998636 17641006 25997272 33889301 35282012 51994544 61743521 67778602 70564024 123487042 135557204 141128048 237225107 246974084 271114408 474450214 493948168 542228816 643896719 948900428 987896336 1287793438 1897800856 2575586876 3795601712 4507277033 5151173752 9014554066 10302347504 18029108132 36058216264 72116432528