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72212213 is a prime number
BaseRepresentation
bin1000100110111…
…01111011110101
312000212202112102
410103131323311
5121441242323
611055431445
71534536143
oct423357365
9160782472
1072212213
1137842117
1220225585
1311c64728
14983a593
156516328
hex44ddef5

72212213 has 2 divisors, whose sum is σ = 72212214. Its totient is φ = 72212212.

The previous prime is 72212207. The next prime is 72212279. The reversal of 72212213 is 31221227.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 69923044 + 2289169 = 8362^2 + 1513^2 .

It is an emirp because it is prime and its reverse (31221227) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72212213 - 28 = 72211957 is a prime.

It is a Chen prime.

It is equal to p4240523 and since 72212213 and 4240523 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72212713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36106106 + 36106107.

It is an arithmetic number, because the mean of its divisors is an integer number (36106107).

Almost surely, 272212213 is an apocalyptic number.

It is an amenable number.

72212213 is a deficient number, since it is larger than the sum of its proper divisors (1).

72212213 is an equidigital number, since it uses as much as digits as its factorization.

72212213 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 336, while the sum is 20.

The square root of 72212213 is about 8497.7769445897. The cubic root of 72212213 is about 416.4250866987.

The spelling of 72212213 in words is "seventy-two million, two hundred twelve thousand, two hundred thirteen".