4756752 has 240 divisors, whose sum is σ = 18471040. Its totient is φ = 1140480.

The previous prime is 4756751. The next prime is 4756769. The reversal of 4756752 is 2576574.

4756752 is a `hidden beast` number, since 47 + 567 + 52 = 666.

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

It is an Ulam number.

It is a d-powerful number, because it can be written as 4¹¹ + 7⁵ + 5³ + 6⁴ + 7⁵ + 5⁵ + 2¹⁹ .

It is not an unprimeable number, because it can be changed into a prime (4756751) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 365898 + ... + 365910.

Almost surely, 2^4756752 is an apocalyptic number.

4756752 is a gapful number since it is divisible by the number (42) 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 4756752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9235520).

4756752 is an abundant number, since it is smaller than the sum of its proper divisors (13714288).

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

4756752 is a wasteful number, since it uses less digits than its factorization.

4756752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59 (or 36 counting only the distinct ones).

The product of its digits is 58800, while the sum is 36.

The square root of 4756752 is about 2180.9979367253. The cubic root of 4756752 is about 168.1783819560.

It can be divided in two parts, 475 and 6752, that added together give a palindrome (7227).

The spelling of 4756752 in words is "four million, seven hundred fifty-six thousand, seven hundred fifty-two".