72501161633 has 2 divisors, whose sum is σ = 72501161634. Its totient is φ = 72501161632.

The previous prime is 72501161627. The next prime is 72501161657. The reversal of 72501161633 is 33616110527.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 62796350464 + 9704811169 = 250592^2 + 98513^2 .

It is a cyclic number.

It is not a de Polignac number, because 72501161633 - 2¹⁸ = 72500899489 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72501161593 and 72501161602.

It is not a weakly prime, because it can be changed into another prime (72501161693) 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, 36250580816 + 36250580817.

It is an arithmetic number, because the mean of its divisors is an integer number (36250580817).

Almost surely, 2^72501161633 is an apocalyptic number.

It is an amenable number.

72501161633 is a deficient number, since it is larger than the sum of its proper divisors (1).

72501161633 is an equidigital number, since it uses as much as digits as its factorization.

72501161633 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 22680, while the sum is 35.

The spelling of 72501161633 in words is "seventy-two billion, five hundred one million, one hundred sixty-one thousand, six hundred thirty-three".