57072400 has 240 divisors, whose sum is σ = 182666880. Its totient is φ = 16588800.

The previous prime is 57072391. The next prime is 57072437. The reversal of 57072400 is 427075.

57072400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 523546 + ... + 523654.

It is an arithmetic number, because the mean of its divisors is an integer number (761112).

Almost surely, 2^57072400 is an apocalyptic number.

57072400 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 57072400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91333440).

57072400 is an abundant number, since it is smaller than the sum of its proper divisors (125594480).

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

57072400 is a wasteful number, since it uses less digits than its factorization.

57072400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 25.

The square root of 57072400 is about 7554.6277208080. The cubic root of 57072400 is about 385.0129865749.

Adding to 57072400 its reverse (427075), we get a palindrome (57499475).

The spelling of 57072400 in words is "fifty-seven million, seventy-two thousand, four hundred".