10032720 has 80 divisors (see below), whose sum is σ = 32944320. Its totient is φ = 2516992.

The previous prime is 10032713. The next prime is 10032739. The reversal of 10032720 is 2723001.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10032720.

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, 2851 + ... + 5309.

It is an arithmetic number, because the mean of its divisors is an integer number (411804).

Almost surely, 2^10032720 is an apocalyptic number.

10032720 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 10032720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16472160).

10032720 is an abundant number, since it is smaller than the sum of its proper divisors (22911600).

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

10032720 is a wasteful number, since it uses less digits than its factorization.

10032720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2492 (or 2486 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 15.

The square root of 10032720 is about 3167.4469214179. The cubic root of 10032720 is about 215.6781901966.

Adding to 10032720 its reverse (2723001), we get a palindrome (12755721).

The spelling of 10032720 in words is "ten million, thirty-two thousand, seven hundred twenty".