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72420749292 = 223172149913931
BaseRepresentation
bin100001101110010011…
…1001110111111101100
320220221010102020121210
41003130213032333230
52141304202434132
653134123554420
75142440132523
oct1033447167754
9226833366553
1072420749292
1128793696921
121205168ba10
136aa1b19798
1437103174ba
151d3cdd4bcc
hex10dc9cefec

72420749292 has 72 divisors (see below), whose sum is σ = 179639208000. Its totient is φ = 22703448320.

The previous prime is 72420749281. The next prime is 72420749321. The reversal of 72420749292 is 29294702427.

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, 5191567 + ... + 5205497.

It is an arithmetic number, because the mean of its divisors is an integer number (2494989000).

Almost surely, 272420749292 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 72420749292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89819604000).

72420749292 is an abundant number, since it is smaller than the sum of its proper divisors (107218458708).

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

72420749292 is a wasteful number, since it uses less digits than its factorization.

72420749292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15471 (or 15452 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 48.

The spelling of 72420749292 in words is "seventy-two billion, four hundred twenty million, seven hundred forty-nine thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 289 578 867 1156 1499 1734 2998 3468 4497 5996 8994 13931 17988 25483 27862 41793 50966 55724 76449 83586 101932 152898 167172 236827 305796 433211 473654 710481 866422 947308 1299633 1420962 1732844 2599266 2841924 4026059 5198532 8052118 12078177 16104236 20882569 24156354 41765138 48312708 62647707 83530276 125295414 250590828 355003673 710007346 1065011019 1420014692 2130022038 4260044076 6035062441 12070124882 18105187323 24140249764 36210374646 72420749292