1006752 has 24 divisors (see below), whose sum is σ = 2642976. Its totient is φ = 335552.

The previous prime is 1006751. The next prime is 1006769. The reversal of 1006752 is 2576001.

1006752 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 (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006751) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5148 + ... + 5339.

It is an arithmetic number, because the mean of its divisors is an integer number (110124).

2^1006752 is an apocalyptic number.

1006752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1006752 is an abundant number, since it is smaller than the sum of its proper divisors (1636224).

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

1006752 is a wasteful number, since it uses less digits than its factorization.

1006752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10500 (or 10492 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 1006752 is about 1003.3703204700. The cubic root of 1006752 is about 100.2245620082.

The spelling of 1006752 in words is "one million, six thousand, seven hundred fifty-two".