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72917681 is a prime number
BaseRepresentation
bin1000101100010…
…10001010110001
312002012121020212
410112022022301
5122131331211
611122513505
71543534664
oct426121261
9162177225
1072917681
1138184151
1220505895
1312150875
1499816db
15660538b
hex458a2b1

72917681 has 2 divisors, whose sum is σ = 72917682. Its totient is φ = 72917680.

The previous prime is 72917671. The next prime is 72917707. The reversal of 72917681 is 18671927.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 58599025 + 14318656 = 7655^2 + 3784^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-72917681 is a prime.

It is a super-2 number, since 2×729176812 = 10633976404835522, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (72917671) by changing a digit.

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 as a sum of consecutive naturals, namely, 36458840 + 36458841.

It is an arithmetic number, because the mean of its divisors is an integer number (36458841).

Almost surely, 272917681 is an apocalyptic number.

It is an amenable number.

72917681 is a deficient number, since it is larger than the sum of its proper divisors (1).

72917681 is an equidigital number, since it uses as much as digits as its factorization.

72917681 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 42336, while the sum is 41.

The square root of 72917681 is about 8539.1850313716. The cubic root of 72917681 is about 417.7767651067.

The spelling of 72917681 in words is "seventy-two million, nine hundred seventeen thousand, six hundred eighty-one".