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72684077956 = 2273122701207
BaseRepresentation
bin100001110110001001…
…1110000001110000100
320221121110220201122021
41003230103300032010
52142324110443311
653220212012524
75152115316550
oct1035423601604
9227543821567
1072684077956
11289092a3616
1212105901144
136b14547b69
1437372a2860
151d5609d171
hex10ec4f0384

72684077956 has 36 divisors (see below), whose sum is σ = 150208774464. Its totient is φ = 30145458960.

The previous prime is 72684077951. The next prime is 72684078011. The reversal of 72684077956 is 65977048627.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 72684077894 and 72684077903.

It is not an unprimeable number, because it can be changed into a prime (72684077951) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1323696 + ... + 1377511.

Almost surely, 272684077956 is an apocalyptic number.

It is an amenable number.

72684077956 is an abundant number, since it is smaller than the sum of its proper divisors (77524696508).

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

72684077956 is a wasteful number, since it uses less digits than its factorization.

72684077956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2701280 (or 2701247 counting only the distinct ones).

The product of its (nonzero) digits is 35562240, while the sum is 61.

The spelling of 72684077956 in words is "seventy-two billion, six hundred eighty-four million, seventy-seven thousand, nine hundred fifty-six".

Divisors: 1 2 4 7 14 28 31 62 124 217 434 868 961 1922 3844 6727 13454 26908 2701207 5402414 10804828 18908449 37816898 75633796 83737417 167474834 334949668 586161919 1172323838 2344647676 2595859927 5191719854 10383439708 18171019489 36342038978 72684077956