4126752 has 144 divisors (see below), whose sum is σ = 14152320. Its totient is φ = 1115136.

The previous prime is 4126697. The next prime is 4126757. The reversal of 4126752 is 2576214.

4126752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4126757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46324 + ... + 46412.

It is an arithmetic number, because the mean of its divisors is an integer number (98280).

Almost surely, 2^4126752 is an apocalyptic number.

4126752 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 4126752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7076160).

4126752 is an abundant number, since it is smaller than the sum of its proper divisors (10025568).

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

4126752 is a wasteful number, since it uses less digits than its factorization.

4126752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 124 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 4126752 is about 2031.4408679556. The cubic root of 4126752 is about 160.3994187411.

It can be divided in two parts, 4 and 126752, that added together give a triangular number (126756 = T₅₀₃).

The spelling of 4126752 in words is "four million, one hundred twenty-six thousand, seven hundred fifty-two".