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72984047 is a prime number
BaseRepresentation
bin1000101100110…
…10010111101111
312002022222021212
410112122113233
5122140442142
611124145035
71544232323
oct426322757
9162288255
1072984047
1138219aa4
122053817b
1312174b36
14999b983
156619d82
hex459a5ef

72984047 has 2 divisors, whose sum is σ = 72984048. Its totient is φ = 72984046.

The previous prime is 72984011. The next prime is 72984053. The reversal of 72984047 is 74048927.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-72984047 is a prime.

It is a super-2 number, since 2×729840472 = 10653342232996418, which contains 22 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 72983995 and 72984013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72984007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36492023 + 36492024.

It is an arithmetic number, because the mean of its divisors is an integer number (36492024).

Almost surely, 272984047 is an apocalyptic number.

72984047 is a deficient number, since it is larger than the sum of its proper divisors (1).

72984047 is an equidigital number, since it uses as much as digits as its factorization.

72984047 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 112896, while the sum is 41.

The square root of 72984047 is about 8543.0701155966. The cubic root of 72984047 is about 417.9034731287.

The spelling of 72984047 in words is "seventy-two million, nine hundred eighty-four thousand, forty-seven".