10736352 has 72 divisors (see below), whose sum is σ = 33316920. Its totient is φ = 3252480.

The previous prime is 10736317. The next prime is 10736357. The reversal of 10736352 is 25363701.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10736357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1474 + ... + 4862.

It is an arithmetic number, because the mean of its divisors is an integer number (462735).

Almost surely, 2^10736352 is an apocalyptic number.

10736352 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 10736352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16658460).

10736352 is an abundant number, since it is smaller than the sum of its proper divisors (22580568).

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

10736352 is a wasteful number, since it uses less digits than its factorization.

10736352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3416 (or 3405 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 10736352 is about 3276.6373006483. The cubic root of 10736352 is about 220.6068095920.

The spelling of 10736352 in words is "ten million, seven hundred thirty-six thousand, three hundred fifty-two".