72128626053 has 32 divisors (see below), whose sum is σ = 106583178240. Its totient is φ = 43022999040.

The previous prime is 72128626039. The next prime is 72128626091. The reversal of 72128626053 is 35062682127.

It is not a de Polignac number, because 72128626053 - 2¹⁰ = 72128625029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72128625996 and 72128626014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72128636053) 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 31 ways as a sum of consecutive naturals, for example, 670293 + ... + 770421.

It is an arithmetic number, because the mean of its divisors is an integer number (3330724320).

Almost surely, 2^72128626053 is an apocalyptic number.

It is an amenable number.

72128626053 is a deficient number, since it is larger than the sum of its proper divisors (34454552187).

72128626053 is a wasteful number, since it uses less digits than its factorization.

72128626053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100489.

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 72128626053 in words is "seventy-two billion, one hundred twenty-eight million, six hundred twenty-six thousand, fifty-three".