72289993 has 2 divisors, whose sum is σ = 72289994. Its totient is φ = 72289992.

The previous prime is 72289991. The next prime is 72290017. The reversal of 72289993 is 39998227.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 66781584 + 5508409 = 8172^2 + 2347^2 .

It is an emirp because it is prime and its reverse (39998227) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72289993 - 2¹ = 72289991 is a prime.

It is a super-3 number, since 3×72289993³ (a number of 25 digits) contains 333 as substring.

Together with 72289991, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (72289991) 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, 36144996 + 36144997.

It is an arithmetic number, because the mean of its divisors is an integer number (36144997).

Almost surely, 2^72289993 is an apocalyptic number.

It is an amenable number.

72289993 is a deficient number, since it is larger than the sum of its proper divisors (1).

72289993 is an equidigital number, since it uses as much as digits as its factorization.

72289993 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 489888, while the sum is 49.

The square root of 72289993 is about 8502.3522039492. The cubic root of 72289993 is about 416.5745439715.

The spelling of 72289993 in words is "seventy-two million, two hundred eighty-nine thousand, nine hundred ninety-three".