17242272 has 144 divisors (see below), whose sum is σ = 54250560. Its totient is φ = 5170176.

The previous prime is 17242271. The next prime is 17242283. The reversal of 17242272 is 27224271.

17242272 is a `hidden beast` number, since 172 + 422 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (17242271) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 125788 + ... + 125924.

It is an arithmetic number, because the mean of its divisors is an integer number (376740).

Almost surely, 2^17242272 is an apocalyptic number.

17242272 is a gapful number since it is divisible by the number (12) 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 17242272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27125280).

17242272 is an abundant number, since it is smaller than the sum of its proper divisors (37008288).

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

17242272 is a wasteful number, since it uses less digits than its factorization.

17242272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 184 counting only the distinct ones).

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

The square root of 17242272 is about 4152.3814853648. The cubic root of 17242272 is about 258.3438717403.

The spelling of 17242272 in words is "seventeen million, two hundred forty-two thousand, two hundred seventy-two".