72800393 has 2 divisors, whose sum is σ = 72800394. Its totient is φ = 72800392.

The previous prime is 72800281. The next prime is 72800401. The reversal of 72800393 is 39300827.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 70341769 + 2458624 = 8387^2 + 1568^2 .

It is a cyclic number.

It is not a de Polignac number, because 72800393 - 2¹⁴ = 72784009 is a prime.

It is not a weakly prime, because it can be changed into another prime (72800993) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36400196 + 36400197.

It is an arithmetic number, because the mean of its divisors is an integer number (36400197).

Almost surely, 2^72800393 is an apocalyptic number.

It is an amenable number.

72800393 is a deficient number, since it is larger than the sum of its proper divisors (1).

72800393 is an equidigital number, since it uses as much as digits as its factorization.

72800393 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9072, while the sum is 32.

The square root of 72800393 is about 8532.3146332048. The cubic root of 72800393 is about 417.5526470953.

The spelling of 72800393 in words is "seventy-two million, eight hundred thousand, three hundred ninety-three".