72508201 has 2 divisors, whose sum is σ = 72508202. Its totient is φ = 72508200.

The previous prime is 72508171. The next prime is 72508273. The reversal of 72508201 is 10280527.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 39388176 + 33120025 = 6276^2 + 5755^2 .

It is an emirp because it is prime and its reverse (10280527) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72508201 - 2²¹ = 70411049 is a prime.

It is not a weakly prime, because it can be changed into another prime (72508291) 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, 36254100 + 36254101.

It is an arithmetic number, because the mean of its divisors is an integer number (36254101).

Almost surely, 2^72508201 is an apocalyptic number.

It is an amenable number.

72508201 is a deficient number, since it is larger than the sum of its proper divisors (1).

72508201 is an equidigital number, since it uses as much as digits as its factorization.

72508201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1120, while the sum is 25.

The square root of 72508201 is about 8515.1747486473. The cubic root of 72508201 is about 416.9932676272.

Adding to 72508201 its reverse (10280527), we get a palindrome (82788728).

It can be divided in two parts, 7250 and 8201, that added together give a palindrome (15451).

The spelling of 72508201 in words is "seventy-two million, five hundred eight thousand, two hundred one".