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71272313 = 73172719
BaseRepresentation
bin1000011111110…
…00011101111001
311222010000020022
410033320131321
5121221203223
611023340225
71523543000
oct417703571
9158100208
1071272313
113725aa42
121ba51675
13119c5988
149673c37
1563ccac8
hex43f8779

71272313 has 24 divisors (see below), whose sum is σ = 88416000. Its totient is φ = 57417024.

The previous prime is 71272301. The next prime is 71272321. The reversal of 71272313 is 31327217.

It is not a de Polignac number, because 71272313 - 24 = 71272297 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (71272393) 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, 98768 + ... + 99486.

It is an arithmetic number, because the mean of its divisors is an integer number (3684000).

Almost surely, 271272313 is an apocalyptic number.

It is an amenable number.

71272313 is a deficient number, since it is larger than the sum of its proper divisors (17143687).

71272313 is an equidigital number, since it uses as much as digits as its factorization.

71272313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 774 (or 743 counting only the distinct ones).

The product of its digits is 1764, while the sum is 26.

The square root of 71272313 is about 8442.2931126561. The cubic root of 71272313 is about 414.6104885445.

The spelling of 71272313 in words is "seventy-one million, two hundred seventy-two thousand, three hundred thirteen".

Divisors: 1 7 17 49 119 289 343 719 833 2023 5033 5831 12223 14161 35231 85561 99127 207791 246617 598927 1454537 4192489 10181759 71272313