4682772 has 60 divisors (see below), whose sum is σ = 12450900. Its totient is φ = 1534464.

The previous prime is 4682753. The next prime is 4682779. The reversal of 4682772 is 2772864.

It can be written as a sum of positive squares in 2 ways, for example, as 1245456 + 3437316 = 1116^2 + 1854^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4682779) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 31354 + ... + 31502.

It is an arithmetic number, because the mean of its divisors is an integer number (207515).

Almost surely, 2^4682772 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4682772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6225450).

4682772 is an abundant number, since it is smaller than the sum of its proper divisors (7768128).

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

4682772 is a wasteful number, since it uses less digits than its factorization.

4682772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 251 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 4682772 is about 2163.9713491634. The cubic root of 4682772 is about 167.3019505210.

It can be divided in two parts, 468 and 2772, that added together give a triangular number (3240 = T₈₀).

The spelling of 4682772 in words is "four million, six hundred eighty-two thousand, seven hundred seventy-two".