172085700 has 144 divisors (see below), whose sum is σ = 517466880. Its totient is φ = 44129280.

The previous prime is 172085687. The next prime is 172085729. The reversal of 172085700 is 7580271.

It is a happy number.

It is a super-2 number, since 2×172085700² = 59226976288980000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1256032 + ... + 1256168.

It is an arithmetic number, because the mean of its divisors is an integer number (3593520).

Almost surely, 2^172085700 is an apocalyptic number.

172085700 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 172085700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258733440).

172085700 is an abundant number, since it is smaller than the sum of its proper divisors (345381180).

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

172085700 is a wasteful number, since it uses less digits than its factorization.

172085700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 30.

The square root of 172085700 is about 13118.1439235892. The cubic root of 172085700 is about 556.2221262808. Note that the first 3 decimals are identical.

The spelling of 172085700 in words is "one hundred seventy-two million, eighty-five thousand, seven hundred".