172481026752 has 280 divisors, whose sum is σ = 516312759600. Its totient is φ = 57167410176.

The previous prime is 172481026741. The next prime is 172481026787. The reversal of 172481026752 is 257620184271.

It is a junction number, because it is equal to n+sod(n) for n = 172481026698 and 172481026707.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 338862274 + ... + 338862782.

Almost surely, 2^172481026752 is an apocalyptic number.

172481026752 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 172481026752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258156379800).

172481026752 is an abundant number, since it is smaller than the sum of its proper divisors (343831732848).

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

172481026752 is an frugal number, since it uses more digits than its factorization.

172481026752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 172481026752 in words is "one hundred seventy-two billion, four hundred eighty-one million, twenty-six thousand, seven hundred fifty-two".