34072 has 8 divisors (see below), whose sum is σ = 63900. Its totient is φ = 17032.

The previous prime is 34061. The next prime is 34123. The reversal of 34072 is 27043.

It is a tau number, because it is divible by the number of its divisors (8).

It is a plaindrome in base 13.

It is a congruent number.

It is an unprimeable number.

34072 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2122 + ... + 2137.

2³⁴⁰⁷² is an apocalyptic number.

It is an amenable number.

34072 is a deficient number, since it is larger than the sum of its proper divisors (29828).

34072 is a wasteful number, since it uses less digits than its factorization.

34072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4265 (or 4261 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 16.

The square root of 34072 is about 184.5860233062. The cubic root of 34072 is about 32.4189697377.

The spelling of 34072 in words is "thirty-four thousand, seventy-two".