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72767423652 = 223711118166683
BaseRepresentation
bin100001111000101000…
…1101100010010100100
320221211021202010102220
41003301101230102210
52143011430024102
653232350232340
75154146616120
oct1036121542244
9227737663386
1072767423652
112895134a460
12121297b56b0
136b288aa041
14374439a580
151d5d5631bc
hex10f146c4a4

72767423652 has 96 divisors (see below), whose sum is σ = 211869471744. Its totient is φ = 18884342400.

The previous prime is 72767423639. The next prime is 72767423653. The reversal of 72767423652 is 25632476727.

It is a junction number, because it is equal to n+sod(n) for n = 72767423595 and 72767423604.

It is not an unprimeable number, because it can be changed into a prime (72767423653) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1057903 + ... + 1124585.

It is an arithmetic number, because the mean of its divisors is an integer number (2206973664).

Almost surely, 272767423652 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 72767423652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105934735872).

72767423652 is an abundant number, since it is smaller than the sum of its proper divisors (139102048092).

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

72767423652 is a wasteful number, since it uses less digits than its factorization.

72767423652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67889 (or 67887 counting only the distinct ones).

The product of its digits is 5927040, while the sum is 51.

The spelling of 72767423652 in words is "seventy-two billion, seven hundred sixty-seven million, four hundred twenty-three thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 462 924 1181 2362 3543 4724 7086 8267 12991 14172 16534 24801 25982 33068 38973 49602 51964 66683 77946 90937 99204 133366 155892 181874 200049 266732 272811 363748 400098 466781 545622 733513 800196 933562 1091244 1400343 1467026 1867124 2200539 2800686 2934052 4401078 5134591 5601372 8802156 10269182 15403773 20538364 30807546 61615092 78752623 157505246 236257869 315010492 472515738 551268361 866278853 945031476 1102536722 1653805083 1732557706 2205073444 2598836559 3307610166 3465115412 5197673118 6063951971 6615220332 10395346236 12127903942 18191855913 24255807884 36383711826 72767423652