51378720 has 96 divisors (see below), whose sum is σ = 167469120. Its totient is φ = 13224960.

The previous prime is 51378713. The next prime is 51378737. The reversal of 51378720 is 2787315.

51378720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12075 + ... + 15765.

It is an arithmetic number, because the mean of its divisors is an integer number (1744470).

Almost surely, 2^51378720 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 51378720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83734560).

51378720 is an abundant number, since it is smaller than the sum of its proper divisors (116090400).

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

51378720 is a wasteful number, since it uses less digits than its factorization.

51378720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3738 (or 3730 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 33.

The square root of 51378720 is about 7167.8950885180. The cubic root of 51378720 is about 371.7586595088.

The spelling of 51378720 in words is "fifty-one million, three hundred seventy-eight thousand, seven hundred twenty".