10753072 has 40 divisors (see below), whose sum is σ = 22980672. Its totient is φ = 4833600.

The previous prime is 10753007. The next prime is 10753073. The reversal of 10753072 is 27035701.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (10753073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18547 + ... + 19117.

Almost surely, 2^10753072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10753072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11490336).

10753072 is an abundant number, since it is smaller than the sum of its proper divisors (12227600).

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

10753072 is a wasteful number, since it uses less digits than its factorization.

10753072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697 (or 691 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 25.

The square root of 10753072 is about 3279.1877042951. The cubic root of 10753072 is about 220.7212691016.

Adding to 10753072 its reverse (27035701), we get a palindrome (37788773).

The spelling of 10753072 in words is "ten million, seven hundred fifty-three thousand, seventy-two".