172048000 has 64 divisors (see below), whose sum is σ = 427794120. Its totient is φ = 68812800.

The previous prime is 172047991. The next prime is 172048003. The reversal of 172048000 is 840271.

It can be written as a sum of positive squares in 4 ways, for example, as 96983104 + 75064896 = 9848^2 + 8664^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (172048003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10624 + ... + 21376.

Almost surely, 2^172048000 is an apocalyptic number.

172048000 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 172048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213897060).

172048000 is an abundant number, since it is smaller than the sum of its proper divisors (255746120).

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

172048000 is an equidigital number, since it uses as much as digits as its factorization.

172048000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10782 (or 10760 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 22.

The square root of 172048000 is about 13116.7069037926. The cubic root of 172048000 is about 556.1815048430.

Adding to 172048000 its reverse (840271), we get a palindrome (172888271).

The spelling of 172048000 in words is "one hundred seventy-two million, forty-eight thousand".