72526261 has 2 divisors, whose sum is σ = 72526262. Its totient is φ = 72526260.

The previous prime is 72526243. The next prime is 72526277. The reversal of 72526261 is 16262527.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 72148036 + 378225 = 8494^2 + 615^2 .

It is a cyclic number.

It is not a de Polignac number, because 72526261 - 2¹¹ = 72524213 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72526231) 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, 36263130 + 36263131.

It is an arithmetic number, because the mean of its divisors is an integer number (36263131).

Almost surely, 2^72526261 is an apocalyptic number.

It is an amenable number.

72526261 is a deficient number, since it is larger than the sum of its proper divisors (1).

72526261 is an equidigital number, since it uses as much as digits as its factorization.

72526261 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 10080, while the sum is 31.

The square root of 72526261 is about 8516.2351423619. The cubic root of 72526261 is about 417.0278856573.

Adding to 72526261 its reverse (16262527), we get a palindrome (88788788).

The spelling of 72526261 in words is "seventy-two million, five hundred twenty-six thousand, two hundred sixty-one".