172431072936 has 96 divisors (see below), whose sum is σ = 478026120000. Its totient is φ = 56120988672.

The previous prime is 172431072917. The next prime is 172431072949. The reversal of 172431072936 is 639270134271.

172431072936 is a `hidden beast` number, since 17 + 243 + 107 + 293 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 172431072891 and 172431072900.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11010840 + ... + 11026488.

It is an arithmetic number, because the mean of its divisors is an integer number (4979438750).

Almost surely, 2^172431072936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 172431072936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239013060000).

172431072936 is an abundant number, since it is smaller than the sum of its proper divisors (305595047064).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

172431072936 is a wasteful number, since it uses less digits than its factorization.

172431072936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19263 (or 19256 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 172431072936 in words is "one hundred seventy-two billion, four hundred thirty-one million, seventy-two thousand, nine hundred thirty-six".