51358272 has 168 divisors, whose sum is σ = 162616896. Its totient is φ = 14257152.

The previous prime is 51358267. The next prime is 51358301. The reversal of 51358272 is 27285315.

It is a tau number, because it is divible by the number of its divisors (168).

Its product of digits (16800) is a multiple of the sum of its prime divisors (168).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 498573 + ... + 498675.

Almost surely, 2^51358272 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 51358272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81308448).

51358272 is an abundant number, since it is smaller than the sum of its proper divisors (111258624).

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

51358272 is a wasteful number, since it uses less digits than its factorization.

51358272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 168 counting only the distinct ones).

The product of its digits is 16800, while the sum is 33.

The square root of 51358272 is about 7166.4685864099. The cubic root of 51358272 is about 371.7093347445.

It can be divided in two parts, 513 and 58272, that added together give a palindrome (58785).

The spelling of 51358272 in words is "fifty-one million, three hundred fifty-eight thousand, two hundred seventy-two".