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71272068 = 22372532287
BaseRepresentation
bin1000011111110…
…00011010000100
311222002222220020
410033320122010
5121221201233
611023335140
71523542200
oct417703204
9158088806
1071272068
113725a83a
121ba514b0
13119c582a
149673b00
1563cc9b3
hex43f8684

71272068 has 72 divisors (see below), whose sum is σ = 197188992. Its totient is φ = 19970496.

The previous prime is 71272067. The next prime is 71272073. The reversal of 71272068 is 86027217.

It is not an unprimeable number, because it can be changed into a prime (71272067) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30021 + ... + 32307.

It is an arithmetic number, because the mean of its divisors is an integer number (2738736).

Almost surely, 271272068 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 71272068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98594496).

71272068 is an abundant number, since it is smaller than the sum of its proper divisors (125916924).

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

71272068 is a wasteful number, since it uses less digits than its factorization.

71272068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2361 (or 2352 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 71272068 is about 8442.2786023680. The cubic root of 71272068 is about 414.6100134667.

The spelling of 71272068 in words is "seventy-one million, two hundred seventy-two thousand, sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 53 84 98 106 147 159 196 212 294 318 371 588 636 742 1113 1484 2226 2287 2597 4452 4574 5194 6861 7791 9148 10388 13722 15582 16009 27444 31164 32018 48027 64036 96054 112063 121211 192108 224126 242422 336189 363633 448252 484844 672378 727266 848477 1344756 1454532 1696954 2545431 3393908 5090862 5939339 10181724 11878678 17818017 23757356 35636034 71272068