72503617 has 2 divisors, whose sum is σ = 72503618. Its totient is φ = 72503616.

The previous prime is 72503603. The next prime is 72503647. The reversal of 72503617 is 71630527.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 69205761 + 3297856 = 8319^2 + 1816^2 .

It is an emirp because it is prime and its reverse (71630527) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72503617 - 2⁷ = 72503489 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (72503647) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36251808 + 36251809.

It is an arithmetic number, because the mean of its divisors is an integer number (36251809).

Almost surely, 2^72503617 is an apocalyptic number.

It is an amenable number.

72503617 is a deficient number, since it is larger than the sum of its proper divisors (1).

72503617 is an equidigital number, since it uses as much as digits as its factorization.

72503617 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8820, while the sum is 31.

The square root of 72503617 is about 8514.9055778676. The cubic root of 72503617 is about 416.9844799435.

The spelling of 72503617 in words is "seventy-two million, five hundred three thousand, six hundred seventeen".