51072 has 64 divisors (see below), whose sum is σ = 163200. Its totient is φ = 13824.

The previous prime is 51071. The next prime is 51109. The reversal of 51072 is 27015.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51071) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2679 + ... + 2697.

It is an arithmetic number, because the mean of its divisors is an integer number (2550).

2⁵¹⁰⁷² 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 51072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81600).

51072 is an abundant number, since it is smaller than the sum of its proper divisors (112128).

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

51072 is a wasteful number, since it uses less digits than its factorization.

51072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 15.

The square root of 51072 is about 225.9911502692. The cubic root of 51072 is about 37.1017409209.

Adding to 51072 its reverse (27015), we get a palindrome (78087).

The spelling of 51072 in words is "fifty-one thousand, seventy-two".