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72419029 is a prime number
BaseRepresentation
bin1000101000100…
…00011011010101
312001021021020021
410110100123111
5122014402104
611104105141
71536360124
oct424203325
9161237207
1072419029
1137973541
12203051b1
13120078c7
149891abb
156557754
hex45106d5

72419029 has 2 divisors, whose sum is σ = 72419030. Its totient is φ = 72419028.

The previous prime is 72419021. The next prime is 72419047. The reversal of 72419029 is 92091427.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 42224004 + 30195025 = 6498^2 + 5495^2 .

It is a cyclic number.

It is not a de Polignac number, because 72419029 - 23 = 72419021 is a prime.

It is a super-2 number, since 2×724190292 = 10489031522605682, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 72418985 and 72419003.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72419021) 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, 36209514 + 36209515.

It is an arithmetic number, because the mean of its divisors is an integer number (36209515).

Almost surely, 272419029 is an apocalyptic number.

It is an amenable number.

72419029 is a deficient number, since it is larger than the sum of its proper divisors (1).

72419029 is an equidigital number, since it uses as much as digits as its factorization.

72419029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9072, while the sum is 34.

The square root of 72419029 is about 8509.9370737979. The cubic root of 72419029 is about 416.8222553517.

The spelling of 72419029 in words is "seventy-two million, four hundred nineteen thousand, twenty-nine".