4762752 has 64 divisors (see below), whose sum is σ = 12892800. Its totient is φ = 1557504.

The previous prime is 4762741. The next prime is 4762763. The reversal of 4762752 is 2572674.

It is an interprime number because it is at equal distance from previous prime (4762741) and next prime (4762763).

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×4762752² = 45367613227008, which contains 22 as substring.

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, 30258 + ... + 30414.

It is an arithmetic number, because the mean of its divisors is an integer number (201450).

Almost surely, 2^4762752 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 4762752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6446400).

4762752 is an abundant number, since it is smaller than the sum of its proper divisors (8130048).

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

4762752 is a wasteful number, since it uses less digits than its factorization.

4762752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 241 counting only the distinct ones).

The product of its digits is 23520, while the sum is 33.

The square root of 4762752 is about 2182.3730203611. The cubic root of 4762752 is about 168.2490636817.

The spelling of 4762752 in words is "four million, seven hundred sixty-two thousand, seven hundred fifty-two".