4755072 has 128 divisors (see below), whose sum is σ = 15177600. Its totient is φ = 1290240.

The previous prime is 4755067. The next prime is 4755077. The reversal of 4755072 is 2705574.

It is an interprime number because it is at equal distance from previous prime (4755067) and next prime (4755077).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×4755072² = 45221419450368, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (4755077) 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 15 ways as a sum of consecutive naturals, for example, 77922 + ... + 77982.

It is an arithmetic number, because the mean of its divisors is an integer number (118575).

Almost surely, 2^4755072 is an apocalyptic number.

4755072 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 4755072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7588800).

4755072 is an abundant number, since it is smaller than the sum of its proper divisors (10422528).

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

4755072 is a wasteful number, since it uses less digits than its factorization.

4755072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 9800, while the sum is 30.

The square root of 4755072 is about 2180.6127579192. The cubic root of 4755072 is about 168.1585804226.

The spelling of 4755072 in words is "four million, seven hundred fifty-five thousand, seventy-two".