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71275672 = 23135367193
BaseRepresentation
bin1000011111110…
…01010010011000
311222010011211201
410033321102120
5121221310142
611023403544
71523555536
oct417712230
9158104751
1071275672
1137262516
121ba535b4
13119c7370
149675156
1563cdab7
hex43f9498

71275672 has 64 divisors (see below), whose sum is σ = 149597280. Its totient is φ = 31629312.

The previous prime is 71275657. The next prime is 71275681. The reversal of 71275672 is 27657217.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 369208 + ... + 369400.

Almost surely, 271275672 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 71275672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74798640).

71275672 is an abundant number, since it is smaller than the sum of its proper divisors (78321608).

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

71275672 is a wasteful number, since it uses less digits than its factorization.

71275672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 328 counting only the distinct ones).

The product of its digits is 41160, while the sum is 37.

The square root of 71275672 is about 8442.4920491523. The cubic root of 71275672 is about 414.6170018486.

The spelling of 71275672 in words is "seventy-one million, two hundred seventy-five thousand, six hundred seventy-two".

Divisors: 1 2 4 8 13 26 52 53 67 104 106 134 193 212 268 386 424 536 689 772 871 1378 1544 1742 2509 2756 3484 3551 5018 5512 6968 7102 10036 10229 12931 14204 20072 20458 25862 28408 40916 46163 51724 81832 92326 103448 132977 168103 184652 265954 336206 369304 531908 672412 685343 1063816 1344824 1370686 2741372 5482744 8909459 17818918 35637836 71275672