172740240 has 120 divisors (see below), whose sum is σ = 600195960. Its totient is φ = 44470272.

The previous prime is 172740221. The next prime is 172740251. The reversal of 172740240 is 42047271.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 35569296 + 137170944 = 5964^2 + 11712^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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 23 ways as a sum of consecutive naturals, for example, 16744 + ... + 25016.

It is an arithmetic number, because the mean of its divisors is an integer number (5001633).

Almost surely, 2^172740240 is an apocalyptic number.

172740240 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 172740240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300097980).

172740240 is an abundant number, since it is smaller than the sum of its proper divisors (427455720).

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

172740240 is a wasteful number, since it uses less digits than its factorization.

172740240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8321 (or 8312 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 172740240 is about 13143.0681349524. The cubic root of 172740240 is about 556.9264439847.

The spelling of 172740240 in words is "one hundred seventy-two million, seven hundred forty thousand, two hundred forty".