57641472 has 120 divisors (see below), whose sum is σ = 190228896. Its totient is φ = 16459776.

The previous prime is 57641471. The next prime is 57641513. The reversal of 57641472 is 27414675.

57641472 is a `hidden beast` number, since 5 + 7 + 641 + 4 + 7 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57641471) 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, 31363 + ... + 33149.

Almost surely, 2^57641472 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 57641472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95114448).

57641472 is an abundant number, since it is smaller than the sum of its proper divisors (132587424).

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

57641472 is a wasteful number, since it uses less digits than its factorization.

57641472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1818 (or 1799 counting only the distinct ones).

The product of its digits is 47040, while the sum is 36.

The square root of 57641472 is about 7592.1981006820. The cubic root of 57641472 is about 386.2884185872.

It can be divided in two parts, 576 and 41472, that multiplied together give a cube (23887872 = 288³).

The spelling of 57641472 in words is "fifty-seven million, six hundred forty-one thousand, four hundred seventy-two".