72805832253 has 72 divisors (see below), whose sum is σ = 132872847744. Its totient is φ = 37601910720.

The previous prime is 72805832243. The next prime is 72805832257. The reversal of 72805832253 is 35223850827.

It is not a de Polignac number, because 72805832253 - 2⁴ = 72805832237 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72805832199 and 72805832208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72805832257) 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 in 71 ways as a sum of consecutive naturals, for example, 1291176 + ... + 1346382.

Almost surely, 2^72805832253 is an apocalyptic number.

It is an amenable number.

72805832253 is a deficient number, since it is larger than the sum of its proper divisors (60067015491).

72805832253 is a wasteful number, since it uses less digits than its factorization.

72805832253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55415 (or 55401 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

It can be divided in two parts, 7280583 and 2253, that added together give a triangular number (7282836 = T₃₈₁₆).

The spelling of 72805832253 in words is "seventy-two billion, eight hundred five million, eight hundred thirty-two thousand, two hundred fifty-three".