10345752 has 64 divisors (see below), whose sum is σ = 29001600. Its totient is φ = 3417120.

The previous prime is 10345711. The next prime is 10345763. The reversal of 10345752 is 25754301.

It is a happy number.

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

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, 45463 + ... + 45689.

It is an arithmetic number, because the mean of its divisors is an integer number (453150).

Almost surely, 2^10345752 is an apocalyptic number.

10345752 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 10345752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14500800).

10345752 is an abundant number, since it is smaller than the sum of its proper divisors (18655848).

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

10345752 is a wasteful number, since it uses less digits than its factorization.

10345752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 10345752 is about 3216.4813072673. The cubic root of 10345752 is about 217.8983899276.

It can be divided in two parts, 1034 and 5752, that added together give a triangular number (6786 = T₁₁₆).

The spelling of 10345752 in words is "ten million, three hundred forty-five thousand, seven hundred fifty-two".