4772000 has 48 divisors (see below), whose sum is σ = 11734632. Its totient is φ = 1907200.

The previous prime is 4771999. The next prime is 4772057. The reversal of 4772000 is 2774.

It can be written as a sum of positive squares in 4 ways, for example, as 1430416 + 3341584 = 1196^2 + 1828^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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 7 ways as a sum of consecutive naturals, for example, 3404 + ... + 4596.

Almost surely, 2^4772000 is an apocalyptic number.

4772000 is a gapful number since it is divisible by the number (40) 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 4772000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5867316).

4772000 is an abundant number, since it is smaller than the sum of its proper divisors (6962632).

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

4772000 is a wasteful number, since it uses less digits than its factorization.

4772000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1218 (or 1200 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 20.

The square root of 4772000 is about 2184.4907873461. The cubic root of 4772000 is about 168.3578916125.

Adding to 4772000 its reverse (2774), we get a palindrome (4774774).

The spelling of 4772000 in words is "four million, seven hundred seventy-two thousand".