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72445409 is a prime number
BaseRepresentation
bin1000101000101…
…10110111100001
312001022121102022
410110112313201
5122021223114
611104431225
71536530051
oct424266741
9161277368
1072445409
1137991343
1220318515
131201690a
14989b561
15656048e
hex4516de1

72445409 has 2 divisors, whose sum is σ = 72445410. Its totient is φ = 72445408.

The previous prime is 72445391. The next prime is 72445427. The reversal of 72445409 is 90454427.

It is a balanced prime because it is at equal distance from previous prime (72445391) and next prime (72445427).

It can be written as a sum of positive squares in only one way, i.e., 72301009 + 144400 = 8503^2 + 380^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-72445409 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (72445459) 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, 36222704 + 36222705.

It is an arithmetic number, because the mean of its divisors is an integer number (36222705).

Almost surely, 272445409 is an apocalyptic number.

It is an amenable number.

72445409 is a deficient number, since it is larger than the sum of its proper divisors (1).

72445409 is an equidigital number, since it uses as much as digits as its factorization.

72445409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 72445409 is about 8511.4868853803. The cubic root of 72445409 is about 416.8728610023.

The spelling of 72445409 in words is "seventy-two million, four hundred forty-five thousand, four hundred nine".