51895872 has 168 divisors, whose sum is σ = 173605952. Its totient is φ = 14515200.

The previous prime is 51895871. The next prime is 51895901. The reversal of 51895872 is 27859815.

It is a happy number.

51895872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (51895871) 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 23 ways as a sum of consecutive naturals, for example, 245847 + ... + 246057.

Almost surely, 2^51895872 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 51895872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86802976).

51895872 is an abundant number, since it is smaller than the sum of its proper divisors (121710080).

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

51895872 is a wasteful number, since it uses less digits than its factorization.

51895872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 284 counting only the distinct ones).

The product of its digits is 201600, while the sum is 45.

The square root of 51895872 is about 7203.8789551186. The cubic root of 51895872 is about 373.0018088640.

The spelling of 51895872 in words is "fifty-one million, eight hundred ninety-five thousand, eight hundred seventy-two".