72881040137 has 2 divisors, whose sum is σ = 72881040138. Its totient is φ = 72881040136.

The previous prime is 72881040131. The next prime is 72881040209. The reversal of 72881040137 is 73104018827.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 55546947856 + 17334092281 = 235684^2 + 131659^2 .

It is a cyclic number.

It is not a de Polignac number, because 72881040137 - 2⁴ = 72881040121 is a prime.

It is a super-2 number, since 2×72881040137² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 72881040094 and 72881040103.

It is not a weakly prime, because it can be changed into another prime (72881040131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36440520068 + 36440520069.

It is an arithmetic number, because the mean of its divisors is an integer number (36440520069).

Almost surely, 2^72881040137 is an apocalyptic number.

It is an amenable number.

72881040137 is a deficient number, since it is larger than the sum of its proper divisors (1).

72881040137 is an equidigital number, since it uses as much as digits as its factorization.

72881040137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 75264, while the sum is 41.

The spelling of 72881040137 in words is "seventy-two billion, eight hundred eighty-one million, forty thousand, one hundred thirty-seven".