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71286272 = 29375371
BaseRepresentation
bin1000011111110…
…11111000000000
311222010201101022
410033323320000
5121222130042
611023525012
71523631461
oct417737000
9158121338
1071286272
113726a482
121ba59768
13119cc135
149678d68
1563d1cd2
hex43fbe00

71286272 has 80 divisors (see below), whose sum is σ = 151142112. Its totient is φ = 33546240.

The previous prime is 71286239. The next prime is 71286277. The reversal of 71286272 is 27268217.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71286277) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1003997 + ... + 1004067.

Almost surely, 271286272 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 71286272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75571056).

71286272 is an abundant number, since it is smaller than the sum of its proper divisors (79855840).

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

71286272 is an equidigital number, since it uses as much as digits as its factorization.

71286272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 163 counting only the distinct ones).

The product of its digits is 18816, while the sum is 35.

The square root of 71286272 is about 8443.1198025374. The cubic root of 71286272 is about 414.6375545480.

The spelling of 71286272 in words is "seventy-one million, two hundred eighty-six thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 32 37 53 64 71 74 106 128 142 148 212 256 284 296 424 512 568 592 848 1136 1184 1696 1961 2272 2368 2627 3392 3763 3922 4544 4736 5254 6784 7526 7844 9088 9472 10508 13568 15052 15688 18176 18944 21016 27136 30104 31376 36352 42032 60208 62752 84064 120416 125504 139231 168128 240832 251008 278462 336256 481664 502016 556924 672512 963328 1004032 1113848 1345024 1926656 2227696 4455392 8910784 17821568 35643136 71286272