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72466241 is a prime number
BaseRepresentation
bin1000101000110…
…11111101000001
312001100122222212
410110123331001
5122022404431
611105111505
71536644561
oct424337501
9161318885
1072466241
11379a5a61
1220328595
1312023243
1498a4da1
15656672b
hex451bf41

72466241 has 2 divisors, whose sum is σ = 72466242. Its totient is φ = 72466240.

The previous prime is 72466217. The next prime is 72466249. The reversal of 72466241 is 14266427.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 72318016 + 148225 = 8504^2 + 385^2 .

It is a cyclic number.

It is not a de Polignac number, because 72466241 - 222 = 68271937 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 72466198 and 72466207.

It is not a weakly prime, because it can be changed into another prime (72466249) 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 as a sum of consecutive naturals, namely, 36233120 + 36233121.

It is an arithmetic number, because the mean of its divisors is an integer number (36233121).

Almost surely, 272466241 is an apocalyptic number.

It is an amenable number.

72466241 is a deficient number, since it is larger than the sum of its proper divisors (1).

72466241 is an equidigital number, since it uses as much as digits as its factorization.

72466241 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 16128, while the sum is 32.

The square root of 72466241 is about 8512.7105553989. The cubic root of 72466241 is about 416.9128150555.

The spelling of 72466241 in words is "seventy-two million, four hundred sixty-six thousand, two hundred forty-one".