172113600 has 168 divisors, whose sum is σ = 589605120. Its totient is φ = 43873280.

The previous prime is 172113551. The next prime is 172113607. The reversal of 172113600 is 6311271.

It is not an unprimeable number, because it can be changed into a prime (172113607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 109621 + ... + 111179.

Almost surely, 2^172113600 is an apocalyptic number.

172113600 is a gapful number since it is divisible by the number (10) 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 172113600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294802560).

172113600 is an abundant number, since it is smaller than the sum of its proper divisors (417491520).

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

172113600 is a wasteful number, since it uses less digits than its factorization.

172113600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1607 (or 1592 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 172113600 is about 13119.2072931256. The cubic root of 172113600 is about 556.2521844799.

Adding to 172113600 its reverse (6311271), we get a palindrome (178424871).

The spelling of 172113600 in words is "one hundred seventy-two million, one hundred thirteen thousand, six hundred".