57324672 has 192 divisors, whose sum is σ = 181927200. Its totient is φ = 17915904.

The previous prime is 57324649. The next prime is 57324713. The reversal of 57324672 is 27642375.

It is a happy number.

57324672 is a `hidden beast` number, since 573 + 24 + 67 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×57324672² = 6572236039815168, which contains 22 as substring.

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

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 23 ways as a sum of consecutive naturals, for example, 590928 + ... + 591024.

Almost surely, 2^57324672 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 57324672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90963600).

57324672 is an abundant number, since it is smaller than the sum of its proper divisors (124602528).

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

57324672 is an equidigital number, since it uses as much as digits as its factorization.

57324672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 121 counting only the distinct ones).

The product of its digits is 70560, while the sum is 36.

The square root of 57324672 is about 7571.3058318892. The cubic root of 57324672 is about 385.5794322231.

It can be divided in two parts, 5732 and 4672, that added together give a square (10404 = 102²).

The spelling of 57324672 in words is "fifty-seven million, three hundred twenty-four thousand, six hundred seventy-two".