57042720 has 144 divisors (see below), whose sum is σ = 222505920. Its totient is φ = 13036032.

The previous prime is 57042709. The next prime is 57042721. The reversal of 57042720 is 2724075.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (57042721) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7251 + ... + 12909.

It is an arithmetic number, because the mean of its divisors is an integer number (1545180).

Almost surely, 2^57042720 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 57042720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111252960).

57042720 is an abundant number, since it is smaller than the sum of its proper divisors (165463200).

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

57042720 is a wasteful number, since it uses less digits than its factorization.

57042720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5687 (or 5676 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 57042720 is about 7552.6631064811. The cubic root of 57042720 is about 384.9462341290.

Adding to 57042720 its reverse (2724075), we get a palindrome (59766795).

The spelling of 57042720 in words is "fifty-seven million, forty-two thousand, seven hundred twenty".