72377503765409 has 2 divisors, whose sum is σ = 72377503765410. Its totient is φ = 72377503765408.

The previous prime is 72377503765403. The next prime is 72377503765471. The reversal of 72377503765409 is 90456730577327.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 72138319191184 + 239184574225 = 8493428^2 + 489065^2 .

It is a cyclic number.

It is not a de Polignac number, because 72377503765409 - 2⁸ = 72377503765153 is a prime.

It is not a weakly prime, because it can be changed into another prime (72377503765403) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36188751882704 + 36188751882705.

It is an arithmetic number, because the mean of its divisors is an integer number (36188751882705).

Almost surely, 2^{72377503765409} is an apocalyptic number.

It is an amenable number.

72377503765409 is a deficient number, since it is larger than the sum of its proper divisors (1).

72377503765409 is an equidigital number, since it uses as much as digits as its factorization.

72377503765409 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 233377200, while the sum is 65.

The spelling of 72377503765409 in words is "seventy-two trillion, three hundred seventy-seven billion, five hundred three million, seven hundred sixty-five thousand, four hundred nine".