72098446386251 has 2 divisors, whose sum is σ = 72098446386252. Its totient is φ = 72098446386250.

The previous prime is 72098446386151. The next prime is 72098446386301. The reversal of 72098446386251 is 15268364489027.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 72098446386251 - 2²² = 72098442191947 is a prime.

It is a super-2 number, since 2×72098446386251² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (72098446386151) 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, 36049223193125 + 36049223193126.

It is an arithmetic number, because the mean of its divisors is an integer number (36049223193126).

It is a 1-persistent number, because it is pandigital, but 2⋅72098446386251 = 144196892772502 is not.

Almost surely, 2^{72098446386251} is an apocalyptic number.

72098446386251 is a deficient number, since it is larger than the sum of its proper divisors (1).

72098446386251 is an equidigital number, since it uses as much as digits as its factorization.

72098446386251 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 139345920, while the sum is 65.

The spelling of 72098446386251 in words is "seventy-two trillion, ninety-eight billion, four hundred forty-six million, three hundred eighty-six thousand, two hundred fifty-one".