72271993 has 2 divisors, whose sum is σ = 72271994. Its totient is φ = 72271992.

The previous prime is 72271963. The next prime is 72272023. The reversal of 72271993 is 39917227.

It is a balanced prime because it is at equal distance from previous prime (72271963) and next prime (72272023).

It can be written as a sum of positive squares in only one way, i.e., 64448784 + 7823209 = 8028^2 + 2797^2 .

It is a cyclic number.

It is not a de Polignac number, because 72271993 - 2⁹ = 72271481 is a prime.

It is not a weakly prime, because it can be changed into another prime (72271933) 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, 36135996 + 36135997.

It is an arithmetic number, because the mean of its divisors is an integer number (36135997).

Almost surely, 2^72271993 is an apocalyptic number.

It is an amenable number.

72271993 is a deficient number, since it is larger than the sum of its proper divisors (1).

72271993 is an equidigital number, since it uses as much as digits as its factorization.

72271993 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 47628, while the sum is 40.

The square root of 72271993 is about 8501.2936074459. The cubic root of 72271993 is about 416.5399658142.

The spelling of 72271993 in words is "seventy-two million, two hundred seventy-one thousand, nine hundred ninety-three".