72520529 has 2 divisors, whose sum is σ = 72520530. Its totient is φ = 72520528.

The previous prime is 72520507. The next prime is 72520537. The reversal of 72520529 is 92502527.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 53684929 + 18835600 = 7327^2 + 4340^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72520529 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 72520495 and 72520504.

It is not a weakly prime, because it can be changed into another prime (72520559) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36260264 + 36260265.

It is an arithmetic number, because the mean of its divisors is an integer number (36260265).

Almost surely, 2^72520529 is an apocalyptic number.

It is an amenable number.

72520529 is a deficient number, since it is larger than the sum of its proper divisors (1).

72520529 is an equidigital number, since it uses as much as digits as its factorization.

72520529 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12600, while the sum is 32.

The square root of 72520529 is about 8515.8986020267. The cubic root of 72520529 is about 417.0168989849.

The spelling of 72520529 in words is "seventy-two million, five hundred twenty thousand, five hundred twenty-nine".