172141200 has 720 divisors, whose sum is σ = 805948416. Its totient is φ = 34214400.

The previous prime is 172141199. The next prime is 172141231. The reversal of 172141200 is 2141271.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7484389 + ... + 7484411.

Almost surely, 2^172141200 is an apocalyptic number.

172141200 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 172141200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402974208).

172141200 is an abundant number, since it is smaller than the sum of its proper divisors (633807216).

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

172141200 is a wasteful number, since it uses less digits than its factorization.

172141200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 172141200 is about 13120.2591437822. The cubic root of 172141200 is about 556.2819162767.

Adding to 172141200 its reverse (2141271), we get a palindrome (174282471).

The spelling of 172141200 in words is "one hundred seventy-two million, one hundred forty-one thousand, two hundred".