4772560 has 60 divisors (see below), whose sum is σ = 12049452. Its totient is φ = 1757184.

The previous prime is 4772557. The next prime is 4772561. The reversal of 4772560 is 652774.

It can be written as a sum of positive squares in 6 ways, for example, as 1132096 + 3640464 = 1064^2 + 1908^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4772561) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13344 + ... + 13696.

Almost surely, 2^4772560 is an apocalyptic number.

4772560 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 4772560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6024726).

4772560 is an abundant number, since it is smaller than the sum of its proper divisors (7276892).

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

4772560 is a wasteful number, since it uses less digits than its factorization.

4772560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 31.

The square root of 4772560 is about 2184.6189599104. The cubic root of 4772560 is about 168.3644770226.

The spelling of 4772560 in words is "four million, seven hundred seventy-two thousand, five hundred sixty".