172441600 has 90 divisors (see below), whose sum is σ = 428657894. Its totient is φ = 68812800.

The previous prime is 172441579. The next prime is 172441651. The reversal of 172441600 is 6144271.

It can be written as a sum of positive squares in 3 ways, for example, as 1982464 + 170459136 = 1408^2 + 13056^2 .

It is a super-2 number, since 2×172441600² = 59472210821120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 409390 + ... + 409810.

Almost surely, 2^172441600 is an apocalyptic number.

172441600 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 172441600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214328947).

172441600 is an abundant number, since it is smaller than the sum of its proper divisors (256216294).

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

172441600 is an frugal number, since it uses more digits than its factorization.

172441600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 172441600 is about 13131.7020983572. The cubic root of 172441600 is about 556.6053135357.

Adding to 172441600 its reverse (6144271), we get a palindrome (178585871).

The spelling of 172441600 in words is "one hundred seventy-two million, four hundred forty-one thousand, six hundred".