51672288 has 96 divisors (see below), whose sum is σ = 142248960. Its totient is φ = 16404480.

The previous prime is 51672281. The next prime is 51672323. The reversal of 51672288 is 88227615.

It is a tau number, because it is divible by the number of its divisors (96).

Its product of digits (53760) is a multiple of the sum of its prime factors (320).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51672281) 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 15 ways as a sum of consecutive naturals, for example, 288583 + ... + 288761.

It is an arithmetic number, because the mean of its divisors is an integer number (1481760).

Almost surely, 2^51672288 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 51672288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71124480).

51672288 is an abundant number, since it is smaller than the sum of its proper divisors (90576672).

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

51672288 is a wasteful number, since it uses less digits than its factorization.

51672288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 312 counting only the distinct ones).

The product of its digits is 53760, while the sum is 39.

The square root of 51672288 is about 7188.3438982842. The cubic root of 51672288 is about 372.4653674091.

The spelling of 51672288 in words is "fifty-one million, six hundred seventy-two thousand, two hundred eighty-eight".