57472000 has 88 divisors (see below), whose sum is σ = 143699400. Its totient is φ = 22937600.

The previous prime is 57471977. The next prime is 57472001. The reversal of 57472000 is 27475.

It can be written as a sum of positive squares in 4 ways, for example, as 1401856 + 56070144 = 1184^2 + 7488^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57472001) 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 7 ways as a sum of consecutive naturals, for example, 127776 + ... + 128224.

Almost surely, 2^57472000 is an apocalyptic number.

57472000 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 57472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71849700).

57472000 is an abundant number, since it is smaller than the sum of its proper divisors (86227400).

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

57472000 is an equidigital number, since it uses as much as digits as its factorization.

57472000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 456 counting only the distinct ones).

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

The square root of 57472000 is about 7581.0289539086. The cubic root of 57472000 is about 385.9094707471.

Adding to 57472000 its reverse (27475), we get a palindrome (57499475).

The spelling of 57472000 in words is "fifty-seven million, four hundred seventy-two thousand".