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72143271 = 3329199463
BaseRepresentation
bin1000100110011…
…01000110100111
312000202020222000
410103031012213
5121432041041
611054140343
71534131144
oct423150647
9160666860
1072143271
11377a5342
12201b16b3
1311c3c235
14981d3cb
156500bb6
hex44cd1a7

72143271 has 32 divisors (see below), whose sum is σ = 111360000. Its totient is φ = 46103904.

The previous prime is 72143251. The next prime is 72143287. The reversal of 72143271 is 17234127.

It is a happy number.

It is not a de Polignac number, because 72143271 - 218 = 71881127 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72143251) 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 31 ways as a sum of consecutive naturals, for example, 155586 + ... + 156048.

It is an arithmetic number, because the mean of its divisors is an integer number (3480000).

Almost surely, 272143271 is an apocalyptic number.

72143271 is a deficient number, since it is larger than the sum of its proper divisors (39216729).

72143271 is a wasteful number, since it uses less digits than its factorization.

72143271 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700 (or 694 counting only the distinct ones).

The product of its digits is 2352, while the sum is 27.

The square root of 72143271 is about 8493.7195032565. The cubic root of 72143271 is about 416.2925222366.

Adding to 72143271 its reverse (17234127), we get a palindrome (89377398).

The spelling of 72143271 in words is "seventy-two million, one hundred forty-three thousand, two hundred seventy-one".

Divisors: 1 3 9 27 29 87 199 261 463 597 783 1389 1791 4167 5373 5771 12501 13427 17313 40281 51939 92137 120843 155817 276411 362529 829233 2487699 2671973 8015919 24047757 72143271