172100000 has 72 divisors (see below), whose sum is σ = 423746316. Its totient is φ = 68800000.

The previous prime is 172099997. The next prime is 172100009. The reversal of 172100000 is 1271.

It can be written as a sum of positive squares in 6 ways, for example, as 8976016 + 163123984 = 2996^2 + 12772^2 .

It is not an unprimeable number, because it can be changed into a prime (172100009) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 99140 + ... + 100860.

Almost surely, 2^172100000 is an apocalyptic number.

172100000 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 172100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211873158).

172100000 is an abundant number, since it is smaller than the sum of its proper divisors (251646316).

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

172100000 is an frugal number, since it uses more digits than its factorization.

172100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1756 (or 1728 counting only the distinct ones).

The product of its (nonzero) digits is 14, while the sum is 11.

The square root of 172100000 is about 13118.6889588861. The cubic root of 172100000 is about 556.2375328603.

Adding to 172100000 its reverse (1271), we get a palindrome (172101271).

The spelling of 172100000 in words is "one hundred seventy-two million, one hundred thousand".