72533100657401 has 2 divisors, whose sum is σ = 72533100657402. Its totient is φ = 72533100657400.

The previous prime is 72533100657343. The next prime is 72533100657533. The reversal of 72533100657401 is 10475600133527.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 69007910410000 + 3525190247401 = 8307100^2 + 1877549^2 .

It is a cyclic number.

It is not a de Polignac number, because 72533100657401 - 2⁶ = 72533100657337 is a prime.

It is a super-2 number, since 2×72533100657401² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (72533100657001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36266550328700 + 36266550328701.

It is an arithmetic number, because the mean of its divisors is an integer number (36266550328701).

Almost surely, 2^{72533100657401} is an apocalyptic number.

It is an amenable number.

72533100657401 is a deficient number, since it is larger than the sum of its proper divisors (1).

72533100657401 is an equidigital number, since it uses as much as digits as its factorization.

72533100657401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 529200, while the sum is 44.

The spelling of 72533100657401 in words is "seventy-two trillion, five hundred thirty-three billion, one hundred million, six hundred fifty-seven thousand, four hundred one".