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72049441 is a prime number
BaseRepresentation
bin1000100101101…
…10001100100001
312000120111020211
410102312030201
5121421040231
611052134121
71533260452
oct422661441
9160514224
1072049441
11377408a2
1220167341
1311c08609
1497d7129
1564d2eb1
hex44b6321

72049441 has 2 divisors, whose sum is σ = 72049442. Its totient is φ = 72049440.

The previous prime is 72049433. The next prime is 72049447. The reversal of 72049441 is 14494027.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 71757841 + 291600 = 8471^2 + 540^2 .

It is a cyclic number.

It is not a de Polignac number, because 72049441 - 23 = 72049433 is a prime.

It is a super-2 number, since 2×720494412 = 10382243896824962, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (72049447) 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, 36024720 + 36024721.

It is an arithmetic number, because the mean of its divisors is an integer number (36024721).

Almost surely, 272049441 is an apocalyptic number.

It is an amenable number.

72049441 is a deficient number, since it is larger than the sum of its proper divisors (1).

72049441 is an equidigital number, since it uses as much as digits as its factorization.

72049441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 72049441 is about 8488.1942131410. The cubic root of 72049441 is about 416.1119663637. Note that the first 3 decimals are identical.

The spelling of 72049441 in words is "seventy-two million, forty-nine thousand, four hundred forty-one".