57555072 has 96 divisors (see below), whose sum is σ = 169303680. Its totient is φ = 18759168.

The previous prime is 57555059. The next prime is 57555073. The reversal of 57555072 is 27055575.

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 (36).

It is not an unprimeable number, because it can be changed into a prime (57555073) 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 11 ways as a sum of consecutive naturals, for example, 53613 + ... + 54675.

It is an arithmetic number, because the mean of its divisors is an integer number (1763580).

Almost surely, 2^57555072 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 57555072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84651840).

57555072 is an abundant number, since it is smaller than the sum of its proper divisors (111748608).

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

57555072 is a wasteful number, since it uses less digits than its factorization.

57555072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1130 (or 1115 counting only the distinct ones).

The product of its (nonzero) digits is 61250, while the sum is 36.

The square root of 57555072 is about 7586.5059151101. The cubic root of 57555072 is about 386.0953168281.

The spelling of 57555072 in words is "fifty-seven million, five hundred fifty-five thousand, seventy-two".