10229752 has 64 divisors (see below), whose sum is σ = 22579200. Its totient is φ = 4302720.

The previous prime is 10229731. The next prime is 10229773. The reversal of 10229752 is 25792201.

It is an interprime number because it is at equal distance from previous prime (10229731) and next prime (10229773).

It is a self number, because there is not a number n which added to its sum of digits gives 10229752.

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 15 ways as a sum of consecutive naturals, for example, 61173 + ... + 61339.

It is an arithmetic number, because the mean of its divisors is an integer number (352800).

Almost surely, 2^10229752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10229752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11289600).

10229752 is an abundant number, since it is smaller than the sum of its proper divisors (12349448).

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

10229752 is a wasteful number, since it uses less digits than its factorization.

10229752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 10229752 is about 3198.3983491742. The cubic root of 10229752 is about 217.0809441281.

The spelling of 10229752 in words is "ten million, two hundred twenty-nine thousand, seven hundred fifty-two".