72352001 has 2 divisors, whose sum is σ = 72352002. Its totient is φ = 72352000.

The previous prime is 72351991. The next prime is 72352061. The reversal of 72352001 is 10025327.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 52780225 + 19571776 = 7265^2 + 4424^2 .

It is a cyclic number.

It is not a de Polignac number, because 72352001 - 2¹⁰ = 72350977 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (72352061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36176000 + 36176001.

It is an arithmetic number, because the mean of its divisors is an integer number (36176001).

Almost surely, 2^72352001 is an apocalyptic number.

It is an amenable number.

72352001 is a deficient number, since it is larger than the sum of its proper divisors (1).

72352001 is an equidigital number, since it uses as much as digits as its factorization.

72352001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 420, while the sum is 20.

The square root of 72352001 is about 8505.9979426285. The cubic root of 72352001 is about 416.6936179544.

Adding to 72352001 its reverse (10025327), we get a palindrome (82377328).

The spelling of 72352001 in words is "seventy-two million, three hundred fifty-two thousand, one".