172202112 has 160 divisors (see below), whose sum is σ = 543171420. Its totient is φ = 53968896.

The previous prime is 172202099. The next prime is 172202119. The reversal of 172202112 is 211202271.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 144576576 + 27625536 = 12024^2 + 5256^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172202119) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 175768 + ... + 176744.

Almost surely, 2^172202112 is an apocalyptic number.

172202112 is a gapful number since it is divisible by the number (12) 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 172202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271585710).

172202112 is an abundant number, since it is smaller than the sum of its proper divisors (370969308).

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

172202112 is an equidigital number, since it uses as much as digits as its factorization.

172202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020 (or 999 counting only the distinct ones).

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

The square root of 172202112 is about 13122.5802340851. The cubic root of 172202112 is about 556.3475218149.

Adding to 172202112 its reverse (211202271), we get a palindrome (383404383).

The spelling of 172202112 in words is "one hundred seventy-two million, two hundred two thousand, one hundred twelve".