172240000 has 80 divisors (see below), whose sum is σ = 428979870. Its totient is φ = 68864000.

The previous prime is 172239953. The next prime is 172240021. The reversal of 172240000 is 42271.

It can be written as a sum of positive squares in 5 ways, for example, as 3655744 + 168584256 = 1912^2 + 12984^2 .

It is a tau number, because it is divible by the number of its divisors (80).

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

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 78924 + ... + 81076.

Almost surely, 2^172240000 is an apocalyptic number.

172240000 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 172240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214489935).

172240000 is an abundant number, since it is smaller than the sum of its proper divisors (256739870).

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

172240000 is an frugal number, since it uses more digits than its factorization.

172240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2187 (or 2160 counting only the distinct ones).

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

The square root of 172240000 is about 13124.0237732183. The cubic root of 172240000 is about 556.3883214484.

Adding to 172240000 its reverse (42271), we get a palindrome (172282271).

The spelling of 172240000 in words is "one hundred seventy-two million, two hundred forty thousand".