172232610768 has 240 divisors, whose sum is σ = 507383525376. Its totient is φ = 56551582080.

The previous prime is 172232610721. The next prime is 172232610827. The reversal of 172232610768 is 867016232271.

172232610768 is a `hidden beast` number, since 1 + 7 + 2 + 23 + 2 + 610 + 7 + 6 + 8 = 666.

It is a super-2 number, since 2×172232610768² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 158447121 + ... + 158448207.

Almost surely, 2^172232610768 is an apocalyptic number.

172232610768 is a gapful number since it is divisible by the number (18) 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 172232610768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253691762688).

172232610768 is an abundant number, since it is smaller than the sum of its proper divisors (335150914608).

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

172232610768 is a wasteful number, since it uses less digits than its factorization.

172232610768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1684 (or 1666 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 172232610768 in words is "one hundred seventy-two billion, two hundred thirty-two million, six hundred ten thousand, seven hundred sixty-eight".