51607072 has 48 divisors (see below), whose sum is σ = 111452544. Its totient is φ = 23328000.

The previous prime is 51607051. The next prime is 51607103. The reversal of 51607072 is 27070615.

It is a super-3 number, since 3×51607072³ (a number of 24 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 51607072.

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 7 ways as a sum of consecutive naturals, for example, 95122 + ... + 95662.

It is an arithmetic number, because the mean of its divisors is an integer number (2321928).

Almost surely, 2^51607072 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 51607072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55726272).

51607072 is an abundant number, since it is smaller than the sum of its proper divisors (59845472).

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

51607072 is a wasteful number, since it uses less digits than its factorization.

51607072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 833 (or 825 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 28.

The square root of 51607072 is about 7183.8062334670. The cubic root of 51607072 is about 372.3086042860.

Adding to 51607072 its reverse (27070615), we get a palindrome (78677687).

The spelling of 51607072 in words is "fifty-one million, six hundred seven thousand, seventy-two".