72353041 has 2 divisors, whose sum is σ = 72353042. Its totient is φ = 72353040.

The previous prime is 72353027. The next prime is 72353051. The reversal of 72353041 is 14035327.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 72250000 + 103041 = 8500^2 + 321^2 .

It is an emirp because it is prime and its reverse (14035327) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72353041 - 2⁹ = 72352529 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72352997 and 72353015.

It is not a weakly prime, because it can be changed into another prime (72353051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36176520 + 36176521.

It is an arithmetic number, because the mean of its divisors is an integer number (36176521).

Almost surely, 2^72353041 is an apocalyptic number.

It is an amenable number.

72353041 is a deficient number, since it is larger than the sum of its proper divisors (1).

72353041 is an equidigital number, since it uses as much as digits as its factorization.

72353041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2520, while the sum is 25.

The square root of 72353041 is about 8506.0590757412. The cubic root of 72353041 is about 416.6956144866.

Adding to 72353041 its reverse (14035327), we get a palindrome (86388368).

The spelling of 72353041 in words is "seventy-two million, three hundred fifty-three thousand, forty-one".