72300413 has 2 divisors, whose sum is σ = 72300414. Its totient is φ = 72300412.

The previous prime is 72300407. The next prime is 72300419. The reversal of 72300413 is 31400327.

It is a balanced prime because it is at equal distance from previous prime (72300407) and next prime (72300419).

It can be written as a sum of positive squares in only one way, i.e., 41242084 + 31058329 = 6422^2 + 5573^2 .

It is a cyclic number.

It is not a de Polignac number, because 72300413 - 2¹² = 72296317 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72300419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36150206 + 36150207.

It is an arithmetic number, because the mean of its divisors is an integer number (36150207).

Almost surely, 2^72300413 is an apocalyptic number.

It is an amenable number.

72300413 is a deficient number, since it is larger than the sum of its proper divisors (1).

72300413 is an equidigital number, since it uses as much as digits as its factorization.

72300413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 504, while the sum is 20.

The square root of 72300413 is about 8502.9649534736. The cubic root of 72300413 is about 416.5945582594.

The spelling of 72300413 in words is "seventy-two million, three hundred thousand, four hundred thirteen".