4752288 has 72 divisors (see below), whose sum is σ = 14004900. Its totient is φ = 1526784.

The previous prime is 4752277. The next prime is 4752289. The reversal of 4752288 is 8822574.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 4613904 + 138384 = 2148^2 + 372^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (4752289) 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 11 ways as a sum of consecutive naturals, for example, 8068 + ... + 8636.

Almost surely, 2^4752288 is an apocalyptic number.

4752288 is a gapful number since it is divisible by the number (48) 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 4752288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7002450).

4752288 is an abundant number, since it is smaller than the sum of its proper divisors (9252612).

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

4752288 is a wasteful number, since it uses less digits than its factorization.

4752288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614 (or 603 counting only the distinct ones).

The product of its digits is 35840, while the sum is 36.

The square root of 4752288 is about 2179.9743117753. The cubic root of 4752288 is about 168.1257561820.

The spelling of 4752288 in words is "four million, seven hundred fifty-two thousand, two hundred eighty-eight".