10075752 has 96 divisors (see below), whose sum is σ = 29090880. Its totient is φ = 3265920.

The previous prime is 10075711. The next prime is 10075763. The reversal of 10075752 is 25757001.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 6.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 137988 + ... + 138060.

It is an arithmetic number, because the mean of its divisors is an integer number (303030).

Almost surely, 2^10075752 is an apocalyptic number.

10075752 is a gapful number since it is divisible by the number (12) 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 10075752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14545440).

10075752 is an abundant number, since it is smaller than the sum of its proper divisors (19015128).

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

10075752 is an equidigital number, since it uses as much as digits as its factorization.

10075752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 2450, while the sum is 27.

The square root of 10075752 is about 3174.2325056618. The cubic root of 10075752 is about 215.9861102180.

The spelling of 10075752 in words is "ten million, seventy-five thousand, seven hundred fifty-two".