72181684225 has 24 divisors (see below), whose sum is σ = 108308924928. Its totient is φ = 46584480000.

The previous prime is 72181684219. The next prime is 72181684273. The reversal of 72181684225 is 52248618127.

It is not a de Polignac number, because 72181684225 - 2²⁵ = 72148129793 is a prime.

It is a super-2 number, since 2×72181684225² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12128401 + ... + 12134350.

It is an arithmetic number, because the mean of its divisors is an integer number (4512871872).

Almost surely, 2^72181684225 is an apocalyptic number.

It is an amenable number.

72181684225 is a deficient number, since it is larger than the sum of its proper divisors (36127240703).

72181684225 is a wasteful number, since it uses less digits than its factorization.

72181684225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24262785 (or 24262780 counting only the distinct ones).

The product of its digits is 430080, while the sum is 46.

The spelling of 72181684225 in words is "seventy-two billion, one hundred eighty-one million, six hundred eighty-four thousand, two hundred twenty-five".