57395712 has 160 divisors (see below), whose sum is σ = 172846080. Its totient is φ = 16773120.

The previous prime is 57395707. The next prime is 57395717. The reversal of 57395712 is 21759375.

It is an interprime number because it is at equal distance from previous prime (57395707) and next prime (57395717).

It is not an unprimeable number, because it can be changed into a prime (57395717) 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, 726489 + ... + 726567.

It is an arithmetic number, because the mean of its divisors is an integer number (1080288).

Almost surely, 2^57395712 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 57395712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86423040).

57395712 is an abundant number, since it is smaller than the sum of its proper divisors (115450368).

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

57395712 is a wasteful number, since it uses less digits than its factorization.

57395712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 138 counting only the distinct ones).

The product of its digits is 66150, while the sum is 39.

The square root of 57395712 is about 7575.9957761340. The cubic root of 57395712 is about 385.7386438076.

The spelling of 57395712 in words is "fifty-seven million, three hundred ninety-five thousand, seven hundred twelve".