72497872873 has 2 divisors, whose sum is σ = 72497872874. Its totient is φ = 72497872872.

The previous prime is 72497872819. The next prime is 72497872883. The reversal of 72497872873 is 37827879427.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 43252768729 + 29245104144 = 207973^2 + 171012^2 .

It is a cyclic number.

It is not a de Polignac number, because 72497872873 - 2¹⁷ = 72497741801 is a prime.

It is a super-2 number, since 2×72497872873² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (72497872883) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36248936436 + 36248936437.

It is an arithmetic number, because the mean of its divisors is an integer number (36248936437).

Almost surely, 2^72497872873 is an apocalyptic number.

It is an amenable number.

72497872873 is a deficient number, since it is larger than the sum of its proper divisors (1).

72497872873 is an equidigital number, since it uses as much as digits as its factorization.

72497872873 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 66382848, while the sum is 64.

The spelling of 72497872873 in words is "seventy-two billion, four hundred ninety-seven million, eight hundred seventy-two thousand, eight hundred seventy-three".