10732320 has 144 divisors (see below), whose sum is σ = 38034360. Its totient is φ = 2752512.

The previous prime is 10732307. The next prime is 10732339. The reversal of 10732320 is 2323701.

It can be written as a sum of positive squares in 4 ways, for example, as 10575504 + 156816 = 3252^2 + 396^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10732293 and 10732302.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41632 + ... + 41888.

Almost surely, 2^10732320 is an apocalyptic number.

10732320 is a gapful number since it is divisible by the number (10) 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 10732320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19017180).

10732320 is an abundant number, since it is smaller than the sum of its proper divisors (27302040).

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

10732320 is a wasteful number, since it uses less digits than its factorization.

10732320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 10732320 is about 3276.0219779483. The cubic root of 10732320 is about 220.5791900919.

The spelling of 10732320 in words is "ten million, seven hundred thirty-two thousand, three hundred twenty".