174072 has 16 divisors (see below), whose sum is σ = 435240. Its totient is φ = 58016.

The previous prime is 174071. The next prime is 174077. The reversal of 174072 is 270471.

It is a super-2 number, since 2×174072² = 60602122368, which contains 22 as substring.

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (174071) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 3603 + ... + 3650.

2¹⁷⁴⁰⁷² is an apocalyptic number.

174072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

174072 is an abundant number, since it is smaller than the sum of its proper divisors (261168).

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

174072 is a wasteful number, since it uses less digits than its factorization.

174072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7262 (or 7258 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 21.

The square root of 174072 is about 417.2193667605. The cubic root of 174072 is about 55.8354010274.

The spelling of 174072 in words is "one hundred seventy-four thousand, seventy-two", and thus it is an iban number.