72704101 has 2 divisors, whose sum is σ = 72704102. Its totient is φ = 72704100.

The previous prime is 72704077. The next prime is 72704117. The reversal of 72704101 is 10140727.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 70543201 + 2160900 = 8399^2 + 1470^2 .

It is an emirp because it is prime and its reverse (10140727) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72704101 - 2⁵ = 72704069 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72704161) 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, 36352050 + 36352051.

It is an arithmetic number, because the mean of its divisors is an integer number (36352051).

Almost surely, 2^72704101 is an apocalyptic number.

It is an amenable number.

72704101 is a deficient number, since it is larger than the sum of its proper divisors (1).

72704101 is an equidigital number, since it uses as much as digits as its factorization.

72704101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 392, while the sum is 22.

The square root of 72704101 is about 8526.6699830590. The cubic root of 72704101 is about 417.3684689706.

Adding to 72704101 its reverse (10140727), we get a palindrome (82844828).

The spelling of 72704101 in words is "seventy-two million, seven hundred four thousand, one hundred one".