57742120 has 64 divisors (see below), whose sum is σ = 135432000. Its totient is φ = 22138368.

The previous prime is 57742117. The next prime is 57742133. The reversal of 57742120 is 2124775.

57742120 = T₁₃₅ + T₁₃₆ + ... + T₇₀₃.

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 15 ways as a sum of consecutive naturals, for example, 101196 + ... + 101764.

It is an arithmetic number, because the mean of its divisors is an integer number (2116125).

Almost surely, 2^57742120 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 57742120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67716000).

57742120 is an abundant number, since it is smaller than the sum of its proper divisors (77689880).

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

57742120 is a wasteful number, since it uses less digits than its factorization.

57742120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 28.

The square root of 57742120 is about 7598.8235931623. The cubic root of 57742120 is about 386.5131210934.

Adding to 57742120 its reverse (2124775), we get a palindrome (59866895).

The spelling of 57742120 in words is "fifty-seven million, seven hundred forty-two thousand, one hundred twenty".