172200400 has 60 divisors (see below), whose sum is σ = 416597344. Its totient is φ = 68400000.

The previous prime is 172200397. The next prime is 172200403. The reversal of 172200400 is 4002271.

It is an interprime number because it is at equal distance from previous prime (172200397) and next prime (172200403).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172200403) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 58975 + ... + 61825.

Almost surely, 2^172200400 is an apocalyptic number.

172200400 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 172200400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208298672).

172200400 is an abundant number, since it is smaller than the sum of its proper divisors (244396944).

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

172200400 is a wasteful number, since it uses less digits than its factorization.

172200400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3020 (or 3009 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 16.

The square root of 172200400 is about 13122.5150028491. The cubic root of 172200400 is about 556.3456781091.

Adding to 172200400 its reverse (4002271), we get a palindrome (176202671).

The spelling of 172200400 in words is "one hundred seventy-two million, two hundred thousand, four hundred".