51307872 has 144 divisors (see below), whose sum is σ = 169456896. Its totient is φ = 13305600.

The previous prime is 51307849. The next prime is 51307897. The reversal of 51307872 is 27870315.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80997 + ... + 81627.

It is an arithmetic number, because the mean of its divisors is an integer number (1176784).

Almost surely, 2^51307872 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 51307872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84728448).

51307872 is an abundant number, since it is smaller than the sum of its proper divisors (118149024).

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

51307872 is a wasteful number, since it uses less digits than its factorization.

51307872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 33.

The square root of 51307872 is about 7162.9513470357. The cubic root of 51307872 is about 371.5877036922.

The spelling of 51307872 in words is "fifty-one million, three hundred seven thousand, eight hundred seventy-two".