72065473 has 2 divisors, whose sum is σ = 72065474. Its totient is φ = 72065472.

The previous prime is 72065467. The next prime is 72065503. The reversal of 72065473 is 37456027.

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., 71031184 + 1034289 = 8428^2 + 1017^2 .

It is a cyclic number.

It is not a de Polignac number, because 72065473 - 2⁹ = 72064961 is a prime.

It is not a weakly prime, because it can be changed into another prime (72065443) 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, 36032736 + 36032737.

It is an arithmetic number, because the mean of its divisors is an integer number (36032737).

Almost surely, 2^72065473 is an apocalyptic number.

It is an amenable number.

72065473 is a deficient number, since it is larger than the sum of its proper divisors (1).

72065473 is an equidigital number, since it uses as much as digits as its factorization.

72065473 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 35280, while the sum is 34.

The square root of 72065473 is about 8489.1385310878. The cubic root of 72065473 is about 416.1428276362.

The spelling of 72065473 in words is "seventy-two million, sixty-five thousand, four hundred seventy-three".