51165672 has 64 divisors (see below), whose sum is σ = 132568320. Its totient is φ = 16443648.

The previous prime is 51165661. The next prime is 51165679. The reversal of 51165672 is 27656115.

51165672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×51165672³ (a number of 24 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (51165679) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139233 + ... + 139599.

It is an arithmetic number, because the mean of its divisors is an integer number (2071380).

Almost surely, 2^51165672 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 51165672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66284160).

51165672 is an abundant number, since it is smaller than the sum of its proper divisors (81402648).

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

51165672 is a wasteful number, since it uses less digits than its factorization.

51165672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 566 counting only the distinct ones).

The product of its digits is 12600, while the sum is 33.

The square root of 51165672 is about 7153.0183838712. The cubic root of 51165672 is about 371.2441003949.

The spelling of 51165672 in words is "fifty-one million, one hundred sixty-five thousand, six hundred seventy-two".