72036541 has 2 divisors, whose sum is σ = 72036542. Its totient is φ = 72036540.

The previous prime is 72036499. The next prime is 72036563. The reversal of 72036541 is 14563027.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 65124900 + 6911641 = 8070^2 + 2629^2 .

It is an emirp because it is prime and its reverse (14563027) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72036541 - 2¹¹ = 72034493 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72036941) 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, 36018270 + 36018271.

It is an arithmetic number, because the mean of its divisors is an integer number (36018271).

Almost surely, 2^72036541 is an apocalyptic number.

It is an amenable number.

72036541 is a deficient number, since it is larger than the sum of its proper divisors (1).

72036541 is an equidigital number, since it uses as much as digits as its factorization.

72036541 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 72036541 is about 8487.4343001875. The cubic root of 72036541 is about 416.0871308031.

Adding to 72036541 its reverse (14563027), we get a palindrome (86599568).

The spelling of 72036541 in words is "seventy-two million, thirty-six thousand, five hundred forty-one".