51072384 has 128 divisors (see below), whose sum is σ = 150698880. Its totient is φ = 15196160.

The previous prime is 51072349. The next prime is 51072391. The reversal of 51072384 is 48327015.

51072384 = 313² + 314² + ... + 568².

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 451912 + ... + 452024.

It is an arithmetic number, because the mean of its divisors is an integer number (1177335).

Almost surely, 2^51072384 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 51072384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75349440).

51072384 is an abundant number, since it is smaller than the sum of its proper divisors (99626496).

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

51072384 is a wasteful number, since it uses less digits than its factorization.

51072384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 51072384 is about 7146.4945252900. The cubic root of 51072384 is about 371.0183390745.

Adding to 51072384 its reverse (48327015), we get a palindrome (99399399).

The spelling of 51072384 in words is "fifty-one million, seventy-two thousand, three hundred eighty-four".