57168720 has 320 divisors, whose sum is σ = 238080000. Its totient is φ = 12317184.

The previous prime is 57168689. The next prime is 57168733. The reversal of 57168720 is 2786175.

57168720 is a `hidden beast` number, since 571 + 6 + 87 + 2 + 0 = 666.

It is a Cunningham number, because it is equal to 7561²-1.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 287181 + ... + 287379.

It is an arithmetic number, because the mean of its divisors is an integer number (744000).

Almost surely, 2^57168720 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 57168720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119040000).

57168720 is an abundant number, since it is smaller than the sum of its proper divisors (180911280).

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

57168720 is a wasteful number, since it uses less digits than its factorization.

57168720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 57168720 is about 7560.9999338712. Note that the first 4 decimals coincide. The cubic root of 57168720 is about 385.2294578650.

The spelling of 57168720 in words is "fifty-seven million, one hundred sixty-eight thousand, seven hundred twenty".