172700400 has 120 divisors (see below), whose sum is σ = 561285504. Its totient is φ = 45382400.

The previous prime is 172700383. The next prime is 172700401. The reversal of 172700400 is 4007271.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172700401) 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 23 ways as a sum of consecutive naturals, for example, 84187 + ... + 86213.

Almost surely, 2^172700400 is an apocalyptic number.

172700400 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 172700400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280642752).

172700400 is an abundant number, since it is smaller than the sum of its proper divisors (388585104).

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

172700400 is a wasteful number, since it uses less digits than its factorization.

172700400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2119 (or 2108 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 21.

The square root of 172700400 is about 13141.5524197105. The cubic root of 172700400 is about 556.8836250571.

Adding to 172700400 its reverse (4007271), we get a palindrome (176707671).

The spelling of 172700400 in words is "one hundred seventy-two million, seven hundred thousand, four hundred".