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72073 is a prime number
BaseRepresentation
bin10001100110001001
310122212101
4101212021
54301243
61313401
7420061
oct214611
9118771
1072073
114a171
1235861
1326a61
141c3a1
151654d
hex11989

72073 has 2 divisors, whose sum is σ = 72074. Its totient is φ = 72072.

The previous prime is 72053. The next prime is 72077. The reversal of 72073 is 37027.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 71289 + 784 = 267^2 + 28^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-72073 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 72073.

It is not a weakly prime, because it can be changed into another prime (72077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36036 + 36037.

It is an arithmetic number, because the mean of its divisors is an integer number (36037).

272073 is an apocalyptic number.

72073 is the 144-th centered heptagonal number.

It is an amenable number.

72073 is a deficient number, since it is larger than the sum of its proper divisors (1).

72073 is an equidigital number, since it uses as much as digits as its factorization.

72073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 294, while the sum is 19.

The square root of 72073 is about 268.4641503069. The cubic root of 72073 is about 41.6157315379.

It can be divided in two parts, 7 and 2073, that added together give a triangular number (2080 = T64).

The spelling of 72073 in words is "seventy-two thousand, seventy-three", and thus it is an iban number.