72055034749 has 2 divisors, whose sum is σ = 72055034750. Its totient is φ = 72055034748.

The previous prime is 72055034747. The next prime is 72055034761. The reversal of 72055034749 is 94743055027.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 50993769124 + 21061265625 = 225818^2 + 145125^2 .

It is a cyclic number.

It is not a de Polignac number, because 72055034749 - 2¹ = 72055034747 is a prime.

Together with 72055034747, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 72055034699 and 72055034708.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72055034741) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36027517374 + 36027517375.

It is an arithmetic number, because the mean of its divisors is an integer number (36027517375).

Almost surely, 2^72055034749 is an apocalyptic number.

It is an amenable number.

72055034749 is a deficient number, since it is larger than the sum of its proper divisors (1).

72055034749 is an equidigital number, since it uses as much as digits as its factorization.

72055034749 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1058400, while the sum is 46.

The spelling of 72055034749 in words is "seventy-two billion, fifty-five million, thirty-four thousand, seven hundred forty-nine".