51814272 has 64 divisors (see below), whose sum is σ = 140025600. Its totient is φ = 16971264.

The previous prime is 51814261. The next prime is 51814363. The reversal of 51814272 is 27241815.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21513 + ... + 23799.

It is an arithmetic number, because the mean of its divisors is an integer number (2187900).

Almost surely, 2^51814272 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 51814272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70012800).

51814272 is an abundant number, since it is smaller than the sum of its proper divisors (88211328).

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

51814272 is a wasteful number, since it uses less digits than its factorization.

51814272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2363 (or 2351 counting only the distinct ones).

The product of its digits is 4480, while the sum is 30.

The square root of 51814272 is about 7198.2131115993. The cubic root of 51814272 is about 372.8062061877.

It can be divided in two parts, 5181 and 4272, that added together give a triangular number (9453 = T₁₃₇).

The spelling of 51814272 in words is "fifty-one million, eight hundred fourteen thousand, two hundred seventy-two".