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72852220848 = 243111013136207
BaseRepresentation
bin100001111011001010…
…1001010101110110000
320222001012022021022210
41003312111022232300
52143200132031343
653245015532120
75156226442221
oct1036625125660
9228035267283
1072852220848
11289951a7890
121215208a040
136b40329ab4
143751751248
151d65c13333
hex10f654abb0

72852220848 has 80 divisors (see below), whose sum is σ = 205514989056. Its totient is φ = 22054475520.

The previous prime is 72852220843. The next prime is 72852220873. The reversal of 72852220848 is 84802225827.

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

It is a junction number, because it is equal to n+sod(n) for n = 72852220797 and 72852220806.

It is not an unprimeable number, because it can be changed into a prime (72852220843) 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, 466761 + ... + 602967.

Almost surely, 272852220848 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 72852220848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102757494528).

72852220848 is an abundant number, since it is smaller than the sum of its proper divisors (132662768208).

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

72852220848 is a wasteful number, since it uses less digits than its factorization.

72852220848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137242 (or 137236 counting only the distinct ones).

The product of its (nonzero) digits is 1146880, while the sum is 48.

The spelling of 72852220848 in words is "seventy-two billion, eight hundred fifty-two million, two hundred twenty thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 1013 2026 3039 4052 6078 8104 11143 12156 16208 22286 24312 33429 44572 48624 66858 89144 133716 136207 178288 267432 272414 408621 534864 544828 817242 1089656 1498277 1634484 2179312 2996554 3268968 4494831 5993108 6537936 8989662 11986216 17979324 23972432 35958648 71917296 137977691 275955382 413933073 551910764 827866146 1103821528 1517754601 1655732292 2207643056 3035509202 3311464584 4553263803 6071018404 6622929168 9106527606 12142036808 18213055212 24284073616 36426110424 72852220848