51712416 has 144 divisors (see below), whose sum is σ = 170299584. Its totient is φ = 14579712.

The previous prime is 51712411. The next prime is 51712429. The reversal of 51712416 is 61421715.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 51712416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51712411) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 227695 + ... + 227921.

It is an arithmetic number, because the mean of its divisors is an integer number (1182636).

Almost surely, 2^51712416 is an apocalyptic number.

51712416 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51712416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85149792).

51712416 is an abundant number, since it is smaller than the sum of its proper divisors (118587168).

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

51712416 is a wasteful number, since it uses less digits than its factorization.

51712416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 352 counting only the distinct ones).

The product of its digits is 1680, while the sum is 27.

The square root of 51712416 is about 7191.1345419203. The cubic root of 51712416 is about 372.5617596501.

The spelling of 51712416 in words is "fifty-one million, seven hundred twelve thousand, four hundred sixteen".