10258752 has 112 divisors (see below), whose sum is σ = 32918400. Its totient is φ = 2752512.

The previous prime is 10258747. The next prime is 10258777. The reversal of 10258752 is 25785201.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22624 + ... + 23072.

Almost surely, 2^10258752 is an apocalyptic number.

10258752 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 10258752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16459200).

10258752 is an abundant number, since it is smaller than the sum of its proper divisors (22659648).

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

10258752 is a wasteful number, since it uses less digits than its factorization.

10258752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 30.

The square root of 10258752 is about 3202.9286598362. The cubic root of 10258752 is about 217.2858825569.

It can be divided in two parts, 102 and 58752, that multiplied together give a square (5992704 = 2448²).

The spelling of 10258752 in words is "ten million, two hundred fifty-eight thousand, seven hundred fifty-two".