10042720 has 48 divisors (see below), whose sum is σ = 24766560. Its totient is φ = 3841024.

The previous prime is 10042709. The next prime is 10042723. The reversal of 10042720 is 2724001.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 10042694 and 10042703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10042723) 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 7 ways as a sum of consecutive naturals, for example, 2316 + ... + 5044.

It is an arithmetic number, because the mean of its divisors is an integer number (515970).

Almost surely, 2^10042720 is an apocalyptic number.

10042720 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 10042720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12383280).

10042720 is an abundant number, since it is smaller than the sum of its proper divisors (14723840).

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

10042720 is a wasteful number, since it uses less digits than its factorization.

10042720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2767 (or 2759 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 16.

The square root of 10042720 is about 3169.0250866789. The cubic root of 10042720 is about 215.7498246659.

Adding to 10042720 its reverse (2724001), we get a palindrome (12766721).

The spelling of 10042720 in words is "ten million, forty-two thousand, seven hundred twenty".