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72334897056 = 25323144318289
BaseRepresentation
bin100001101011101111…
…1101110111110100000
320220201010212111111100
41003113133232332200
52141120213201211
653121415514400
75140345323462
oct1032737567640
9226633774440
1072334897056
112874a188864
1212028988a00
136a8a0ba746
143702b6a132
151d355c7156
hex10d77eefa0

72334897056 has 144 divisors (see below), whose sum is σ = 212828878080. Its totient is φ = 23279892480.

The previous prime is 72334897039. The next prime is 72334897067. The reversal of 72334897056 is 65079843327.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 72334896993 and 72334897011.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3945960 + ... + 3964248.

It is an arithmetic number, because the mean of its divisors is an integer number (1477978320).

Almost surely, 272334897056 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 72334897056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106414439040).

72334897056 is an abundant number, since it is smaller than the sum of its proper divisors (140493981024).

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

72334897056 is a wasteful number, since it uses less digits than its factorization.

72334897056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18779 (or 18768 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 72334897056 in words is "seventy-two billion, three hundred thirty-four million, eight hundred ninety-seven thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 72 93 96 124 144 186 248 279 288 372 443 496 558 744 886 992 1116 1329 1488 1772 2232 2658 2976 3544 3987 4464 5316 7088 7974 8928 10632 13733 14176 15948 18289 21264 27466 31896 36578 41199 42528 54867 54932 63792 73156 82398 109734 109864 123597 127584 146312 164601 164796 219468 219728 247194 292624 329202 329592 438936 439456 494388 566959 585248 658404 659184 877872 988776 1133918 1316808 1318368 1700877 1755744 1977552 2267836 2633616 3401754 3955104 4535672 5102631 5267232 6803508 8102027 9071344 10205262 13607016 16204054 18142688 20410524 24306081 27214032 32408108 40821048 48612162 54428064 64816216 72918243 81642096 97224324 129632432 145836486 163284192 194448648 251162837 259264864 291672972 388897296 502325674 583345944 753488511 777794592 1004651348 1166691888 1506977022 2009302696 2260465533 2333383776 3013954044 4018605392 4520931066 6027908088 8037210784 9041862132 12055816176 18083724264 24111632352 36167448528 72334897056