51885072 has 120 divisors (see below), whose sum is σ = 153204480. Its totient is φ = 16369920.

The previous prime is 51885061. The next prime is 51885077. The reversal of 51885072 is 27058815.

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 (51885077) by changing a digit.

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, 263278 + ... + 263474.

It is an arithmetic number, because the mean of its divisors is an integer number (1276704).

Almost surely, 2^51885072 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 51885072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76602240).

51885072 is an abundant number, since it is smaller than the sum of its proper divisors (101319408).

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

51885072 is a wasteful number, since it uses less digits than its factorization.

51885072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

The square root of 51885072 is about 7203.1293199553. The cubic root of 51885072 is about 372.9759320530.

The spelling of 51885072 in words is "fifty-one million, eight hundred eighty-five thousand, seventy-two".