172581881472 has 1536 divisors, whose sum is σ = 724548464640. Its totient is φ = 39414988800.

The previous prime is 172581881453. The next prime is 172581881501. The reversal of 172581881472 is 274188185271.

172581881472 is a `hidden beast` number, since 17 + 2 + 5 + 81 + 8 + 81 + 472 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 716107272 + ... + 716107512.

It is an arithmetic number, because the mean of its divisors is an integer number (471711240).

Almost surely, 2^172581881472 is an apocalyptic number.

172581881472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 172581881472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362274232320).

172581881472 is an abundant number, since it is smaller than the sum of its proper divisors (551966583168).

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

172581881472 is a wasteful number, since it uses less digits than its factorization.

172581881472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 300 counting only the distinct ones).

The product of its digits is 2007040, while the sum is 54.

The spelling of 172581881472 in words is "one hundred seventy-two billion, five hundred eighty-one million, eight hundred eighty-one thousand, four hundred seventy-two".