72456361 has 2 divisors, whose sum is σ = 72456362. Its totient is φ = 72456360.

The previous prime is 72456359. The next prime is 72456383. The reversal of 72456361 is 16365427.

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., 62094400 + 10361961 = 7880^2 + 3219^2 .

It is a cyclic number.

It is not a de Polignac number, because 72456361 - 2¹ = 72456359 is a prime.

Together with 72456359, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (72456301) 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, 36228180 + 36228181.

It is an arithmetic number, because the mean of its divisors is an integer number (36228181).

Almost surely, 2^72456361 is an apocalyptic number.

It is an amenable number.

72456361 is a deficient number, since it is larger than the sum of its proper divisors (1).

72456361 is an equidigital number, since it uses as much as digits as its factorization.

72456361 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 30240, while the sum is 34.

The square root of 72456361 is about 8512.1302269173. The cubic root of 72456361 is about 416.8938669873.

The spelling of 72456361 in words is "seventy-two million, four hundred fifty-six thousand, three hundred sixty-one".