10436752 has 40 divisors (see below), whose sum is σ = 21248640. Its totient is φ = 4959360.

The previous prime is 10436749. The next prime is 10436753. The reversal of 10436752 is 25763401.

It is a self number, because there is not a number n which added to its sum of digits gives 10436752.

It is not an unprimeable number, because it can be changed into a prime (10436753) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38377 + ... + 38647.

It is an arithmetic number, because the mean of its divisors is an integer number (531216).

Almost surely, 2^10436752 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 10436752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10624320).

10436752 is an abundant number, since it is smaller than the sum of its proper divisors (10811888).

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

10436752 is a wasteful number, since it uses less digits than its factorization.

10436752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 10436752 is about 3230.5962298003. The cubic root of 10436752 is about 218.5353952996.

It can be divided in two parts, 104 and 36752, that added together give a triangular number (36856 = T₂₇₁).

The spelling of 10436752 in words is "ten million, four hundred thirty-six thousand, seven hundred fifty-two".