172000800 has 144 divisors (see below), whose sum is σ = 622147680. Its totient is φ = 45861120.

The previous prime is 172000729. The next prime is 172000823. The reversal of 172000800 is 8000271.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17619 + ... + 25581.

It is an arithmetic number, because the mean of its divisors is an integer number (4320470).

Almost surely, 2^172000800 is an apocalyptic number.

172000800 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 172000800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311073840).

172000800 is an abundant number, since it is smaller than the sum of its proper divisors (450146880).

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

172000800 is a wasteful number, since it uses less digits than its factorization.

172000800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7992 (or 7973 counting only the distinct ones).

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

The square root of 172000800 is about 13114.9075482826. The cubic root of 172000800 is about 556.1306388675.

The spelling of 172000800 in words is "one hundred seventy-two million, eight hundred", and thus it is an aban number.