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72982969 is a prime number
BaseRepresentation
bin1000101100110…
…10000110111001
312002022220210221
410112122012321
5122140423334
611124140041
71544226223
oct426320671
9162286727
1072982969
1138219204
1220537621
13121744b7
14999b413
1566198b4
hex459a1b9

72982969 has 2 divisors, whose sum is σ = 72982970. Its totient is φ = 72982968.

The previous prime is 72982967. The next prime is 72983003. The reversal of 72982969 is 96928927.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 67436944 + 5546025 = 8212^2 + 2355^2 .

It is an emirp because it is prime and its reverse (96928927) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72982969 - 21 = 72982967 is a prime.

It is a super-2 number, since 2×729829692 = 10653027528109922, which contains 22 as substring.

Together with 72982967, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (72982967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36491484 + 36491485.

It is an arithmetic number, because the mean of its divisors is an integer number (36491485).

Almost surely, 272982969 is an apocalyptic number.

It is an amenable number.

72982969 is a deficient number, since it is larger than the sum of its proper divisors (1).

72982969 is an equidigital number, since it uses as much as digits as its factorization.

72982969 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 979776, while the sum is 52.

The square root of 72982969 is about 8543.0070232910. The cubic root of 72982969 is about 417.9014155916.

The spelling of 72982969 in words is "seventy-two million, nine hundred eighty-two thousand, nine hundred sixty-nine".