Search a number
-
+
72227593 is a prime number
BaseRepresentation
bin1000100111000…
…01101100001001
312000220112122001
410103201230021
5121442240333
611100031001
71534632034
oct423415411
9160815561
1072227593
1137852729
1220232461
1311c6b729
14984201b
15651ab7d
hex44e1b09

72227593 has 2 divisors, whose sum is σ = 72227594. Its totient is φ = 72227592.

The previous prime is 72227591. The next prime is 72227627. The reversal of 72227593 is 39572227.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 61968384 + 10259209 = 7872^2 + 3203^2 .

It is a cyclic number.

It is not a de Polignac number, because 72227593 - 21 = 72227591 is a prime.

Together with 72227591, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (72227591) 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, 36113796 + 36113797.

It is an arithmetic number, because the mean of its divisors is an integer number (36113797).

Almost surely, 272227593 is an apocalyptic number.

It is an amenable number.

72227593 is a deficient number, since it is larger than the sum of its proper divisors (1).

72227593 is an equidigital number, since it uses as much as digits as its factorization.

72227593 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 52920, while the sum is 37.

The square root of 72227593 is about 8498.6818389677. The cubic root of 72227593 is about 416.4546484720.

The spelling of 72227593 in words is "seventy-two million, two hundred twenty-seven thousand, five hundred ninety-three".