51724320 has 96 divisors (see below), whose sum is σ = 164058048. Its totient is φ = 13698048.

The previous prime is 51724303. The next prime is 51724331. The reversal of 51724320 is 2342715.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94287 + ... + 94833.

It is an arithmetic number, because the mean of its divisors is an integer number (1708938).

Almost surely, 2^51724320 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 51724320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82029024).

51724320 is an abundant number, since it is smaller than the sum of its proper divisors (112333728).

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

51724320 is a wasteful number, since it uses less digits than its factorization.

51724320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 51724320 is about 7191.9621801008. The cubic root of 51724320 is about 372.5903448866.

The spelling of 51724320 in words is "fifty-one million, seven hundred twenty-four thousand, three hundred twenty".