10725264 has 160 divisors (see below), whose sum is σ = 35057280. Its totient is φ = 3110400.

The previous prime is 10725257. The next prime is 10725269. The reversal of 10725264 is 46252701.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10725269) 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 31 ways as a sum of consecutive naturals, for example, 175794 + ... + 175854.

It is an arithmetic number, because the mean of its divisors is an integer number (219108).

Almost surely, 2^10725264 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 10725264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17528640).

10725264 is an abundant number, since it is smaller than the sum of its proper divisors (24332016).

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

10725264 is a wasteful number, since it uses less digits than its factorization.

10725264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 10725264 is about 3274.9448850324. The cubic root of 10725264 is about 220.5308393166.

Adding to 10725264 its reverse (46252701), we get a palindrome (56977965).

It can be divided in two parts, 1072 and 5264, that added together give a palindrome (6336).

The spelling of 10725264 in words is "ten million, seven hundred twenty-five thousand, two hundred sixty-four".