72395320253 has 2 divisors, whose sum is σ = 72395320254. Its totient is φ = 72395320252.

The previous prime is 72395320223. The next prime is 72395320313. The reversal of 72395320253 is 35202359327.

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., 43748742244 + 28646578009 = 209162^2 + 169253^2 .

It is a cyclic number.

It is not a de Polignac number, because 72395320253 - 2¹² = 72395316157 is a prime.

It is a super-3 number, since 3×72395320253³ (a number of 34 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 72395320253.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72395320223) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36197660126 + 36197660127.

It is an arithmetic number, because the mean of its divisors is an integer number (36197660127).

Almost surely, 2^72395320253 is an apocalyptic number.

It is an amenable number.

72395320253 is a deficient number, since it is larger than the sum of its proper divisors (1).

72395320253 is an equidigital number, since it uses as much as digits as its factorization.

72395320253 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 340200, while the sum is 41.

The spelling of 72395320253 in words is "seventy-two billion, three hundred ninety-five million, three hundred twenty thousand, two hundred fifty-three".