34672 has 20 divisors (see below), whose sum is σ = 73656. Its totient is φ = 15680.

The previous prime is 34667. The next prime is 34673. The reversal of 34672 is 27643.

34672 is nontrivially palindromic in base 13.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a d-powerful number, because it can be written as 3² + 4⁴ + 6⁴ + 7³ + 2¹⁵ .

34672 is an undulating number in base 14.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 78 + ... + 274.

2³⁴⁶⁷² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36828).

34672 is an abundant number, since it is smaller than the sum of its proper divisors (38984).

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

34672 is a wasteful number, since it uses less digits than its factorization.

34672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 210 counting only the distinct ones).

The product of its digits is 1008, while the sum is 22.

The square root of 34672 is about 186.2041889969. The cubic root of 34672 is about 32.6081603519.

The spelling of 34672 in words is "thirty-four thousand, six hundred seventy-two".