51672 has 16 divisors (see below), whose sum is σ = 129240. Its totient is φ = 17216.

The previous prime is 51659. The next prime is 51673. The reversal of 51672 is 27615.

51672 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51673) by changing a digit.

51672 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1053 + ... + 1100.

2⁵¹⁶⁷² is an apocalyptic number.

It is an amenable number.

51672 is an abundant number, since it is smaller than the sum of its proper divisors (77568).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64620).

51672 is a wasteful number, since it uses less digits than its factorization.

51672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2162 (or 2158 counting only the distinct ones).

The product of its digits is 420, while the sum is 21.

The square root of 51672 is about 227.3147597496. The cubic root of 51672 is about 37.2464675418.

The spelling of 51672 in words is "fifty-one thousand, six hundred seventy-two".