10144720 has 40 divisors (see below), whose sum is σ = 23755176. Its totient is φ = 4028928.

The previous prime is 10144709. The next prime is 10144723. The reversal of 10144720 is 2744101.

10144720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 6031936 + 4112784 = 2456^2 + 2028^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10144723) 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, 13474 + ... + 14206.

Almost surely, 2^10144720 is an apocalyptic number.

10144720 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 10144720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11877588).

10144720 is an abundant number, since it is smaller than the sum of its proper divisors (13610456).

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

10144720 is a wasteful number, since it uses less digits than its factorization.

10144720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 919 (or 913 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 19.

The square root of 10144720 is about 3185.0777070583. The cubic root of 10144720 is about 216.4777946422.

Adding to 10144720 its reverse (2744101), we get a palindrome (12888821).

The spelling of 10144720 in words is "ten million, one hundred forty-four thousand, seven hundred twenty".