46672 has 10 divisors (see below), whose sum is σ = 90458. Its totient is φ = 23328.

The previous prime is 46663. The next prime is 46679. The reversal of 46672 is 27664.

46672 is nontrivially palindromic in base 9.

It can be written as a sum of positive squares in only one way, i.e., 46656 + 16 = 216^2 + 4^2 .

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 (46679) by changing a digit.

46672 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 (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1443 + ... + 1474.

46672 is a Friedman number, since it can be written as 6^7/6+2^4, using all its digits and the basic arithmetic operations.

2⁴⁶⁶⁷² is an apocalyptic number.

It is an amenable number.

46672 is a deficient number, since it is larger than the sum of its proper divisors (43786).

46672 is a wasteful number, since it uses less digits than its factorization.

46672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2925 (or 2919 counting only the distinct ones).

The product of its digits is 2016, while the sum is 25.

The square root of 46672 is about 216.0370338623. The cubic root of 46672 is about 36.0041147560.

The spelling of 46672 in words is "forty-six thousand, six hundred seventy-two".