210172320 has 120 divisors (see below), whose sum is σ = 741778884. Its totient is φ = 56042496.

The previous prime is 210172217. The next prime is 210172327. The reversal of 210172320 is 23271012.

210172320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 208398096 + 1774224 = 14436^2 + 1332^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a junction number, because it is equal to n+sod(n) for n = 210172293 and 210172302.

It is not an unprimeable number, because it can be changed into a prime (210172327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4852 + ... + 21068.

Almost surely, 2^210172320 is an apocalyptic number.

210172320 is a gapful number since it is divisible by the number (20) 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 210172320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370889442).

210172320 is an abundant number, since it is smaller than the sum of its proper divisors (531606564).

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

210172320 is a wasteful number, since it uses less digits than its factorization.

210172320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16244 (or 16227 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 210172320 is about 14497.3211318505. The cubic root of 210172320 is about 594.5547312446.

The spelling of 210172320 in words is "two hundred ten million, one hundred seventy-two thousand, three hundred twenty".