72524201 has 2 divisors, whose sum is σ = 72524202. Its totient is φ = 72524200.

The previous prime is 72524183. The next prime is 72524209. The reversal of 72524201 is 10242527.

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., 59274601 + 13249600 = 7699^2 + 3640^2 .

It is an emirp because it is prime and its reverse (10242527) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72524201 - 2¹⁰ = 72523177 is a prime.

It is not a weakly prime, because it can be changed into another prime (72524209) by changing a digit.

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

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36262100 + 36262101.

It is an arithmetic number, because the mean of its divisors is an integer number (36262101).

Almost surely, 2^72524201 is an apocalyptic number.

It is an amenable number.

72524201 is a deficient number, since it is larger than the sum of its proper divisors (1).

72524201 is an equidigital number, since it uses as much as digits as its factorization.

72524201 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 23.

The square root of 72524201 is about 8516.1141960404. The cubic root of 72524201 is about 417.0239372687.

Adding to 72524201 its reverse (10242527), we get a palindrome (82766728).

The spelling of 72524201 in words is "seventy-two million, five hundred twenty-four thousand, two hundred one".