72837314673329 has 2 divisors, whose sum is σ = 72837314673330. Its totient is φ = 72837314673328.

The previous prime is 72837314673283. The next prime is 72837314673391. The reversal of 72837314673329 is 92337641373827.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 48095126554225 + 24742188119104 = 6935065^2 + 4974152^2 .

It is a cyclic number.

It is not a de Polignac number, because 72837314673329 - 2¹⁶ = 72837314607793 is a prime.

It is not a weakly prime, because it can be changed into another prime (72837314679329) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36418657336664 + 36418657336665.

It is an arithmetic number, because the mean of its divisors is an integer number (36418657336665).

Almost surely, 2^{72837314673329} is an apocalyptic number.

It is an amenable number.

72837314673329 is a deficient number, since it is larger than the sum of its proper divisors (1).

72837314673329 is an equidigital number, since it uses as much as digits as its factorization.

72837314673329 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 192036096, while the sum is 65.

The spelling of 72837314673329 in words is "seventy-two trillion, eight hundred thirty-seven billion, three hundred fourteen million, six hundred seventy-three thousand, three hundred twenty-nine".