72877321729 has 2 divisors, whose sum is σ = 72877321730. Its totient is φ = 72877321728.

The previous prime is 72877321687. The next prime is 72877321801. The reversal of 72877321729 is 92712377827.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 60700640625 + 12176681104 = 246375^2 + 110348^2 .

It is a cyclic number.

It is not a de Polignac number, because 72877321729 - 2¹⁵ = 72877288961 is a prime.

It is a super-4 number, since 4×72877321729⁴ (a number of 45 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 72877321729.

It is not a weakly prime, because it can be changed into another prime (72877321129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36438660864 + 36438660865.

It is an arithmetic number, because the mean of its divisors is an integer number (36438660865).

Almost surely, 2^72877321729 is an apocalyptic number.

It is an amenable number.

72877321729 is a deficient number, since it is larger than the sum of its proper divisors (1).

72877321729 is an equidigital number, since it uses as much as digits as its factorization.

72877321729 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4148928, while the sum is 55.

The spelling of 72877321729 in words is "seventy-two billion, eight hundred seventy-seven million, three hundred twenty-one thousand, seven hundred twenty-nine".