172240211808 has 432 divisors, whose sum is σ = 585660741120. Its totient is φ = 48841553664.

The previous prime is 172240211797. The next prime is 172240211837. The reversal of 172240211808 is 808112042271.

It is a happy number.

172240211808 is a `hidden beast` number, since 1 + 72 + 2 + 402 + 1 + 180 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 239554873 + ... + 239555591.

It is an arithmetic number, because the mean of its divisors is an integer number (1355696160).

Almost surely, 2^172240211808 is an apocalyptic number.

172240211808 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 172240211808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292830370560).

172240211808 is an abundant number, since it is smaller than the sum of its proper divisors (413420529312).

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

172240211808 is an frugal number, since it uses more digits than its factorization.

172240211808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 923 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The spelling of 172240211808 in words is "one hundred seventy-two billion, two hundred forty million, two hundred eleven thousand, eight hundred eight".