172124400 has 240 divisors, whose sum is σ = 651450368. Its totient is φ = 38016000.

The previous prime is 172124383. The next prime is 172124411. The reversal of 172124400 is 4421271.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 260070 + ... + 260730.

Almost surely, 2^172124400 is an apocalyptic number.

172124400 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 172124400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325725184).

172124400 is an abundant number, since it is smaller than the sum of its proper divisors (479325968).

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

172124400 is a wasteful number, since it uses less digits than its factorization.

172124400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 172124400 is about 13119.6188969040. The cubic root of 172124400 is about 556.2638190398.

Adding to 172124400 its reverse (4421271), we get a palindrome (176545671).

It can be divided in two parts, 17212 and 4400, that added together give a palindrome (21612).

The spelling of 172124400 in words is "one hundred seventy-two million, one hundred twenty-four thousand, four hundred".