51712128 has 128 divisors (see below), whose sum is σ = 164505600. Its totient is φ = 15897600.

The previous prime is 51712121. The next prime is 51712163. The reversal of 51712128 is 82121715.

51712128 is a `hidden beast` number, since 517 + 121 + 28 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (51712121) by changing a digit.

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 in 15 ways as a sum of consecutive naturals, for example, 44353 + ... + 45503.

It is an arithmetic number, because the mean of its divisors is an integer number (1285200).

Almost surely, 2^51712128 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 51712128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82252800).

51712128 is an abundant number, since it is smaller than the sum of its proper divisors (112793472).

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

51712128 is a wasteful number, since it uses less digits than its factorization.

51712128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1187 (or 1169 counting only the distinct ones).

The product of its digits is 1120, while the sum is 27.

The square root of 51712128 is about 7191.1145172358. The cubic root of 51712128 is about 372.5610680174.

The spelling of 51712128 in words is "fifty-one million, seven hundred twelve thousand, one hundred twenty-eight".