72644117623009 has 2 divisors, whose sum is σ = 72644117623010. Its totient is φ = 72644117623008.

The previous prime is 72644117622929. The next prime is 72644117623087. The reversal of 72644117623009 is 90032671144627.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 59693857392400 + 12950260230609 = 7726180^2 + 3598647^2 .

It is an emirp because it is prime and its reverse (90032671144627) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72644117623009 - 2¹¹ = 72644117620961 is a prime.

It is not a weakly prime, because it can be changed into another prime (72644177623009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36322058811504 + 36322058811505.

It is an arithmetic number, because the mean of its divisors is an integer number (36322058811505).

Almost surely, 2^{72644117623009} is an apocalyptic number.

It is an amenable number.

72644117623009 is a deficient number, since it is larger than the sum of its proper divisors (1).

72644117623009 is an equidigital number, since it uses as much as digits as its factorization.

72644117623009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3048192, while the sum is 52.

The spelling of 72644117623009 in words is "seventy-two trillion, six hundred forty-four billion, one hundred seventeen million, six hundred twenty-three thousand, nine".