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72077249 is a prime number
BaseRepresentation
bin1000100101111…
…00111111000001
312000121220101202
410102330333001
5121422432444
611052510545
71533434516
oct422747701
9160556352
1072077249
113775a782
122017b455
1311c1817a
14980330d
1564db34e
hex44bcfc1

72077249 has 2 divisors, whose sum is σ = 72077250. Its totient is φ = 72077248.

The previous prime is 72077219. The next prime is 72077251. The reversal of 72077249 is 94277027.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 44462224 + 27615025 = 6668^2 + 5255^2 .

It is a cyclic number.

It is not a de Polignac number, because 72077249 - 212 = 72073153 is a prime.

Together with 72077251, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (72077219) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36038624 + 36038625.

It is an arithmetic number, because the mean of its divisors is an integer number (36038625).

Almost surely, 272077249 is an apocalyptic number.

It is an amenable number.

72077249 is a deficient number, since it is larger than the sum of its proper divisors (1).

72077249 is an equidigital number, since it uses as much as digits as its factorization.

72077249 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 49392, while the sum is 38.

The square root of 72077249 is about 8489.8320949239. The cubic root of 72077249 is about 416.1654932800.

The spelling of 72077249 in words is "seventy-two million, seventy-seven thousand, two hundred forty-nine".