10735272 has 24 divisors (see below), whose sum is σ = 29074890. Its totient is φ = 3578400.

The previous prime is 10735267. The next prime is 10735289. The reversal of 10735272 is 27253701.

10735272 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 only one way, i.e., 8678916 + 2056356 = 2946^2 + 1434^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 74479 + ... + 74622.

Almost surely, 2^10735272 is an apocalyptic number.

10735272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10735272 is an abundant number, since it is smaller than the sum of its proper divisors (18339618).

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

10735272 is a wasteful number, since it uses less digits than its factorization.

10735272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149113 (or 149106 counting only the distinct ones).

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

The square root of 10735272 is about 3276.4724933990. The cubic root of 10735272 is about 220.5994121898.

Adding to 10735272 its reverse (27253701), we get a palindrome (37988973).

The spelling of 10735272 in words is "ten million, seven hundred thirty-five thousand, two hundred seventy-two".