57120000 has 360 divisors, whose sum is σ = 229876416. Its totient is φ = 12288000.

The previous prime is 57119987. The next prime is 57120043. The reversal of 57120000 is 2175.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 3359992 + ... + 3360008.

Almost surely, 2^57120000 is an apocalyptic number.

57120000 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 57120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114938208).

57120000 is an abundant number, since it is smaller than the sum of its proper divisors (172756416).

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

57120000 is an equidigital number, since it uses as much as digits as its factorization.

57120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 15.

The square root of 57120000 is about 7557.7774510765. Note that the first 3 decimals coincide. The cubic root of 57120000 is about 385.1199940809.

Adding to 57120000 its reverse (2175), we get a palindrome (57122175).

The spelling of 57120000 in words is "fifty-seven million, one hundred twenty thousand".