72112181153 has 8 divisors (see below), whose sum is σ = 78417698472. Its totient is φ = 66035955456.

The previous prime is 72112181147. The next prime is 72112181161. The reversal of 72112181153 is 35118121127.

It can be written as a sum of positive squares in 4 ways, for example, as 20572738624 + 51539442529 = 143432^2 + 227023^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 72112181153 - 2²⁴ = 72095403937 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72112381153) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57322250 + ... + 57323507.

It is an arithmetic number, because the mean of its divisors is an integer number (9802212309).

Almost surely, 2^72112181153 is an apocalyptic number.

It is an amenable number.

72112181153 is a deficient number, since it is larger than the sum of its proper divisors (6305517319).

72112181153 is a wasteful number, since it uses less digits than its factorization.

72112181153 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114645811.

The product of its digits is 3360, while the sum is 32.

The spelling of 72112181153 in words is "seventy-two billion, one hundred twelve million, one hundred eighty-one thousand, one hundred fifty-three".