72616001 has 2 divisors, whose sum is σ = 72616002. Its totient is φ = 72616000.

The previous prime is 72615997. The next prime is 72616003. The reversal of 72616001 is 10061627.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 45576001 + 27040000 = 6751^2 + 5200^2 .

It is a cyclic number.

It is not a de Polignac number, because 72616001 - 2² = 72615997 is a prime.

Together with 72616003, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (72616003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36308000 + 36308001.

It is an arithmetic number, because the mean of its divisors is an integer number (36308001).

Almost surely, 2^72616001 is an apocalyptic number.

It is an amenable number.

72616001 is a deficient number, since it is larger than the sum of its proper divisors (1).

72616001 is an equidigital number, since it uses as much as digits as its factorization.

72616001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 504, while the sum is 23.

The square root of 72616001 is about 8521.5022736604. The cubic root of 72616001 is about 417.1998172080.

Adding to 72616001 its reverse (10061627), we get a palindrome (82677628).

The spelling of 72616001 in words is "seventy-two million, six hundred sixteen thousand, one".