72506653 has 2 divisors, whose sum is σ = 72506654. Its totient is φ = 72506652.

The previous prime is 72506617. The next prime is 72506669. The reversal of 72506653 is 35660527.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 68923204 + 3583449 = 8302^2 + 1893^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72506653 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72506053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36253326 + 36253327.

It is an arithmetic number, because the mean of its divisors is an integer number (36253327).

Almost surely, 2^72506653 is an apocalyptic number.

It is an amenable number.

72506653 is a deficient number, since it is larger than the sum of its proper divisors (1).

72506653 is an equidigital number, since it uses as much as digits as its factorization.

72506653 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 37800, while the sum is 34.

The square root of 72506653 is about 8515.0838516130. The cubic root of 72506653 is about 416.9903001001.

The spelling of 72506653 in words is "seventy-two million, five hundred six thousand, six hundred fifty-three".