172800240 has 160 divisors (see below), whose sum is σ = 581587776. Its totient is φ = 42270720.

The previous prime is 172800239. The next prime is 172800259. The reversal of 172800240 is 42008271.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 172800240.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 166764 + ... + 167796.

Almost surely, 2^172800240 is an apocalyptic number.

172800240 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 172800240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290793888).

172800240 is an abundant number, since it is smaller than the sum of its proper divisors (408787536).

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

172800240 is a wasteful number, since it uses less digits than its factorization.

172800240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1107 (or 1101 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 172800240 is about 13145.3505088301. The cubic root of 172800240 is about 556.9909178995.

The spelling of 172800240 in words is "one hundred seventy-two million, eight hundred thousand, two hundred forty".