72945193 has 2 divisors, whose sum is σ = 72945194. Its totient is φ = 72945192.

The previous prime is 72945163. The next prime is 72945211. The reversal of 72945193 is 39154927.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 70610409 + 2334784 = 8403^2 + 1528^2 .

It is a cyclic number.

It is not a de Polignac number, because 72945193 - 2²⁵ = 39390761 is a prime.

It is not a weakly prime, because it can be changed into another prime (72945133) 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, 36472596 + 36472597.

It is an arithmetic number, because the mean of its divisors is an integer number (36472597).

Almost surely, 2^72945193 is an apocalyptic number.

It is an amenable number.

72945193 is a deficient number, since it is larger than the sum of its proper divisors (1).

72945193 is an equidigital number, since it uses as much as digits as its factorization.

72945193 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 68040, while the sum is 40.

The square root of 72945193 is about 8540.7958060125. The cubic root of 72945193 is about 417.8293011947.

The spelling of 72945193 in words is "seventy-two million, nine hundred forty-five thousand, one hundred ninety-three".