72527537 has 2 divisors, whose sum is σ = 72527538. Its totient is φ = 72527536.

The previous prime is 72527531. The next prime is 72527549. The reversal of 72527537 is 73572527.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 65788321 + 6739216 = 8111^2 + 2596^2 .

It is a cyclic number.

It is not a de Polignac number, because 72527537 - 2⁶ = 72527473 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 72527537.

It is not a weakly prime, because it can be changed into another prime (72527531) 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, 36263768 + 36263769.

It is an arithmetic number, because the mean of its divisors is an integer number (36263769).

Almost surely, 2^72527537 is an apocalyptic number.

It is an amenable number.

72527537 is a deficient number, since it is larger than the sum of its proper divisors (1).

72527537 is an equidigital number, since it uses as much as digits as its factorization.

72527537 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 102900, while the sum is 38.

The square root of 72527537 is about 8516.3100577656. The cubic root of 72527537 is about 417.0303313207.

The spelling of 72527537 in words is "seventy-two million, five hundred twenty-seven thousand, five hundred thirty-seven".