72437312351401 has 2 divisors, whose sum is σ = 72437312351402. Its totient is φ = 72437312351400.

The previous prime is 72437312351389. The next prime is 72437312351681. The reversal of 72437312351401 is 10415321373427.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 59858770554025 + 12578541797376 = 7736845^2 + 3546624^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72437312351401 is a prime.

It is not a weakly prime, because it can be changed into another prime (72437310351401) 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, 36218656175700 + 36218656175701.

It is an arithmetic number, because the mean of its divisors is an integer number (36218656175701).

Almost surely, 2^{72437312351401} is an apocalyptic number.

It is an amenable number.

72437312351401 is a deficient number, since it is larger than the sum of its proper divisors (1).

72437312351401 is an equidigital number, since it uses as much as digits as its factorization.

72437312351401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 423360, while the sum is 43.

The spelling of 72437312351401 in words is "seventy-two trillion, four hundred thirty-seven billion, three hundred twelve million, three hundred fifty-one thousand, four hundred one".