10752042 has 32 divisors (see below), whose sum is σ = 24998400. Its totient is φ = 3019248.

The previous prime is 10752037. The next prime is 10752047. The reversal of 10752042 is 24025701.

It is an interprime number because it is at equal distance from previous prime (10752037) and next prime (10752047).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (10752047) 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, 309 + ... + 4647.

It is an arithmetic number, because the mean of its divisors is an integer number (781200).

Almost surely, 2^10752042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10752042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12499200).

10752042 is an abundant number, since it is smaller than the sum of its proper divisors (14246358).

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

10752042 is a wasteful number, since it uses less digits than its factorization.

10752042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4410.

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 10752042 is about 3279.0306494450. The cubic root of 10752042 is about 220.7142214981.

Adding to 10752042 its reverse (24025701), we get a palindrome (34777743).

The spelling of 10752042 in words is "ten million, seven hundred fifty-two thousand, forty-two".