72001361 has 2 divisors, whose sum is σ = 72001362. Its totient is φ = 72001360.

The previous prime is 72001351. The next prime is 72001373. The reversal of 72001361 is 16310027.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 64899136 + 7102225 = 8056^2 + 2665^2 .

It is an emirp because it is prime and its reverse (16310027) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72001361 is a prime.

It is not a weakly prime, because it can be changed into another prime (72001301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36000680 + 36000681.

It is an arithmetic number, because the mean of its divisors is an integer number (36000681).

Almost surely, 2^72001361 is an apocalyptic number.

It is an amenable number.

72001361 is a deficient number, since it is larger than the sum of its proper divisors (1).

72001361 is an equidigital number, since it uses as much as digits as its factorization.

72001361 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 252, while the sum is 20.

The square root of 72001361 is about 8485.3615715537. The cubic root of 72001361 is about 416.0193858847.

Adding to 72001361 its reverse (16310027), we get a palindrome (88311388).

The spelling of 72001361 in words is "seventy-two million, one thousand, three hundred sixty-one".