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72035339236 = 227219210092
BaseRepresentation
bin100001100010110100…
…1000000101111100100
320212221021012101102021
41003011221000233210
52140012021323421
653031555152524
75130050165200
oct1030551005744
9225837171367
1072035339236
1128606086613
1211b645a5744
136a40015cb3
1436b506db00
151d19154341
hex10c5a40be4

72035339236 has 81 divisors (see below), whose sum is σ = 154921194729. Its totient is φ = 29218444416.

The previous prime is 72035339209. The next prime is 72035339263. The reversal of 72035339236 is 63293353027.

The square root of 72035339236 is 268394.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (72035339209) and next prime (72035339263).

It can be written as a sum of positive squares in only one way, i.e., 22109905636 + 49925433600 = 148694^2 + 223440^2 .

It is a junction number, because it is equal to n+sod(n) for n = 72035339192 and 72035339201.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 71392300 + ... + 71393308.

Almost surely, 272035339236 is an apocalyptic number.

72035339236 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

72035339236 is the 268394-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72035339236

72035339236 is an abundant number, since it is smaller than the sum of its proper divisors (82885855493).

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

72035339236 is a wasteful number, since it uses less digits than its factorization.

72035339236 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2074 (or 1037 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 43.

The spelling of 72035339236 in words is "seventy-two billion, thirty-five million, three hundred thirty-nine thousand, two hundred thirty-six".

Divisors: 1 2 4 7 14 19 28 38 49 76 98 133 196 266 361 532 722 931 1009 1444 1862 2018 2527 3724 4036 5054 7063 10108 14126 17689 19171 28252 35378 38342 49441 70756 76684 98882 134197 197764 268394 364249 536788 728498 939379 1018081 1456996 1878758 2036162 2549743 3757516 4072324 5099486 7126567 10198972 14253134 17848201 19343539 28506268 35696402 38687078 49885969 71392804 77374156 99771938 135404773 199543876 270809546 367527241 541619092 735054482 947833411 1470108964 1895666822 2572690687 3791333644 5145381374 10290762748 18008834809 36017669618 72035339236