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72591973 is a prime number
BaseRepresentation
bin1000101001110…
…10101001100101
312001121001110121
410110322221211
5122040420343
611111521541
71541010256
oct424725145
9161531417
1072591973
1137a81473
12203892b1
131206853c
1498d8b2d
15658daed
hex453aa65

72591973 has 2 divisors, whose sum is σ = 72591974. Its totient is φ = 72591972.

The previous prime is 72591943. The next prime is 72591983. The reversal of 72591973 is 37919527.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 68194564 + 4397409 = 8258^2 + 2097^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-72591973 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72591943) 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, 36295986 + 36295987.

It is an arithmetic number, because the mean of its divisors is an integer number (36295987).

Almost surely, 272591973 is an apocalyptic number.

It is an amenable number.

72591973 is a deficient number, since it is larger than the sum of its proper divisors (1).

72591973 is an equidigital number, since it uses as much as digits as its factorization.

72591973 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 119070, while the sum is 43.

The square root of 72591973 is about 8520.0923117065. The cubic root of 72591973 is about 417.1537962074.

The spelling of 72591973 in words is "seventy-two million, five hundred ninety-one thousand, nine hundred seventy-three".