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72037249 is a prime number
BaseRepresentation
bin1000100101100…
…11001110000001
312000112212112021
410102303032001
5121420142444
611052001441
71533210064
oct422631601
9160485467
1072037249
1137732719
1220160281
1311c02bbb
1497d28db
1564ce584
hex44b3381

72037249 has 2 divisors, whose sum is σ = 72037250. Its totient is φ = 72037248.

The previous prime is 72037237. The next prime is 72037271. The reversal of 72037249 is 94273027.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 51380224 + 20657025 = 7168^2 + 4545^2 .

It is a cyclic number.

It is not a de Polignac number, because 72037249 - 29 = 72036737 is a prime.

It is not a weakly prime, because it can be changed into another prime (72037549) 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, 36018624 + 36018625.

It is an arithmetic number, because the mean of its divisors is an integer number (36018625).

Almost surely, 272037249 is an apocalyptic number.

It is an amenable number.

72037249 is a deficient number, since it is larger than the sum of its proper divisors (1).

72037249 is an equidigital number, since it uses as much as digits as its factorization.

72037249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21168, while the sum is 34.

The square root of 72037249 is about 8487.4760088026. The cubic root of 72037249 is about 416.0884939480.

The spelling of 72037249 in words is "seventy-two million, thirty-seven thousand, two hundred forty-nine".