51168672 has 120 divisors (see below), whose sum is σ = 158558400. Its totient is φ = 16142976.

The previous prime is 51168661. The next prime is 51168679. The reversal of 51168672 is 27686115.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (51168679) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 48729 + ... + 49767.

It is an arithmetic number, because the mean of its divisors is an integer number (1321320).

Almost surely, 2^51168672 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 51168672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79279200).

51168672 is an abundant number, since it is smaller than the sum of its proper divisors (107389728).

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

51168672 is a wasteful number, since it uses less digits than its factorization.

51168672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1080 (or 1063 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 51168672 is about 7153.2280824814. The cubic root of 51168672 is about 371.2513559791.

The spelling of 51168672 in words is "fifty-one million, one hundred sixty-eight thousand, six hundred seventy-two".