173742240 has 288 divisors, whose sum is σ = 651551040. Its totient is φ = 38793216.

The previous prime is 173742211. The next prime is 173742307. The reversal of 173742240 is 42247371.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 173742198 and 173742207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1952116 + ... + 1952204.

It is an arithmetic number, because the mean of its divisors is an integer number (2262330).

Almost surely, 2^173742240 is an apocalyptic number.

173742240 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 173742240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325775520).

173742240 is an abundant number, since it is smaller than the sum of its proper divisors (477808800).

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

173742240 is a wasteful number, since it uses less digits than its factorization.

173742240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 30.

The square root of 173742240 is about 13181.1319695996. The cubic root of 173742240 is about 558.0012075872.

The spelling of 173742240 in words is "one hundred seventy-three million, seven hundred forty-two thousand, two hundred forty".