57672000 has 280 divisors, whose sum is σ = 215752680. Its totient is φ = 15206400.

The previous prime is 57671989. The next prime is 57672053. The reversal of 57672000 is 27675.

It can be written as a sum of positive squares in 4 ways, for example, as 7884864 + 49787136 = 2808^2 + 7056^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 647956 + ... + 648044.

Almost surely, 2^57672000 is an apocalyptic number.

57672000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107876340).

57672000 is an abundant number, since it is smaller than the sum of its proper divisors (158080680).

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

57672000 is an equidigital number, since it uses as much as digits as its factorization.

57672000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 57672000 is about 7594.2083195024. The cubic root of 57672000 is about 386.3566017383.

Adding to 57672000 its reverse (27675), we get a palindrome (57699675).

The spelling of 57672000 in words is "fifty-seven million, six hundred seventy-two thousand".