10753272 has 24 divisors (see below), whose sum is σ = 29123640. Its totient is φ = 3584400.

The previous prime is 10753201. The next prime is 10753277. The reversal of 10753272 is 27235701.

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10753277) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 74604 + ... + 74747.

It is an arithmetic number, because the mean of its divisors is an integer number (1213485).

Almost surely, 2^10753272 is an apocalyptic number.

10753272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10753272 is an abundant number, since it is smaller than the sum of its proper divisors (18370368).

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

10753272 is a wasteful number, since it uses less digits than its factorization.

10753272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149363 (or 149356 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 10753272 is about 3279.2181995104. The cubic root of 10753272 is about 220.7226375162.

Adding to 10753272 its reverse (27235701), we get a palindrome (37988973).

It can be divided in two parts, 10753 and 272, that added together give a square (11025 = 105²).

The spelling of 10753272 in words is "ten million, seven hundred fifty-three thousand, two hundred seventy-two".