72368873 has 2 divisors, whose sum is σ = 72368874. Its totient is φ = 72368872.

The previous prime is 72368851. The next prime is 72368909. The reversal of 72368873 is 37886327.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 69689104 + 2679769 = 8348^2 + 1637^2 .

It is an emirp because it is prime and its reverse (37886327) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72368873 - 2¹⁰ = 72367849 is a prime.

It is not a weakly prime, because it can be changed into another prime (72368843) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36184436 + 36184437.

It is an arithmetic number, because the mean of its divisors is an integer number (36184437).

Almost surely, 2^72368873 is an apocalyptic number.

It is an amenable number.

72368873 is a deficient number, since it is larger than the sum of its proper divisors (1).

72368873 is an equidigital number, since it uses as much as digits as its factorization.

72368873 is an evil number, because the sum of its binary digits is even.

The product of its digits is 338688, while the sum is 44.

The square root of 72368873 is about 8506.9896555715. The cubic root of 72368873 is about 416.7260054867.

It can be divided in two parts, 723 and 68873, that added together give a palindrome (69596).

The spelling of 72368873 in words is "seventy-two million, three hundred sixty-eight thousand, eight hundred seventy-three".