10762272 has 36 divisors (see below), whose sum is σ = 30606030. Its totient is φ = 3587328.

The previous prime is 10762267. The next prime is 10762289. The reversal of 10762272 is 27226701.

It can be written as a sum of positive squares in only one way, i.e., 7817616 + 2944656 = 2796^2 + 1716^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 18397 + ... + 18972.

Almost surely, 2^10762272 is an apocalyptic number.

10762272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10762272 is an abundant number, since it is smaller than the sum of its proper divisors (19843758).

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

10762272 is a wasteful number, since it uses less digits than its factorization.

10762272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37385 (or 37374 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 10762272 is about 3280.5901908041. The cubic root of 10762272 is about 220.7841986172.

Adding to 10762272 its reverse (27226701), we get a palindrome (37988973).

The spelling of 10762272 in words is "ten million, seven hundred sixty-two thousand, two hundred seventy-two".