72008641 has 2 divisors, whose sum is σ = 72008642. Its totient is φ = 72008640.

The previous prime is 72008633. The next prime is 72008647. The reversal of 72008641 is 14680027.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 70308225 + 1700416 = 8385^2 + 1304^2 .

It is a cyclic number.

It is not a de Polignac number, because 72008641 - 2³ = 72008633 is a prime.

It is equal to p_4229128 and since 72008641 and 4229128 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (72008647) 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, 36004320 + 36004321.

It is an arithmetic number, because the mean of its divisors is an integer number (36004321).

Almost surely, 2^72008641 is an apocalyptic number.

It is an amenable number.

72008641 is a deficient number, since it is larger than the sum of its proper divisors (1).

72008641 is an equidigital number, since it uses as much as digits as its factorization.

72008641 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 72008641 is about 8485.7905347705. The cubic root of 72008641 is about 416.0334065412.

Adding to 72008641 its reverse (14680027), we get a palindrome (86688668).

The spelling of 72008641 in words is "seventy-two million, eight thousand, six hundred forty-one".