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72117448 = 2313693437
BaseRepresentation
bin1000100110001…
…10110011001000
312000200221112121
410103012303020
5121430224243
611053421024
71533662644
oct423066310
9160627477
1072117448
11377879a7
122019a774
1311c30560
149813c24
1564e81ed
hex44c6cc8

72117448 has 16 divisors (see below), whose sum is σ = 145621980. Its totient is φ = 33284928.

The previous prime is 72117431. The next prime is 72117467. The reversal of 72117448 is 84471127.

It can be written as a sum of positive squares in 2 ways, for example, as 71267364 + 850084 = 8442^2 + 922^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 346615 + ... + 346822.

Almost surely, 272117448 is an apocalyptic number.

It is an amenable number.

72117448 is an abundant number, since it is smaller than the sum of its proper divisors (73504532).

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

72117448 is a wasteful number, since it uses less digits than its factorization.

72117448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693456 (or 693452 counting only the distinct ones).

The product of its digits is 12544, while the sum is 34.

The square root of 72117448 is about 8492.1992440121. The cubic root of 72117448 is about 416.2428469885.

The spelling of 72117448 in words is "seventy-two million, one hundred seventeen thousand, four hundred forty-eight".

Divisors: 1 2 4 8 13 26 52 104 693437 1386874 2773748 5547496 9014681 18029362 36058724 72117448