10280772 has 36 divisors (see below), whose sum is σ = 26093340. Its totient is φ = 3412992.

The previous prime is 10280737. The next prime is 10280773. The reversal of 10280772 is 27708201.

It can be written as a sum of positive squares in 2 ways, for example, as 6843456 + 3437316 = 2616^2 + 1854^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10280773) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12304 + ... + 13112.

It is an arithmetic number, because the mean of its divisors is an integer number (724815).

Almost surely, 2^10280772 is an apocalyptic number.

10280772 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10280772 is an abundant number, since it is smaller than the sum of its proper divisors (15812568).

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

10280772 is a wasteful number, since it uses less digits than its factorization.

10280772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1172 (or 1167 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 10280772 is about 3206.3642962084. The cubic root of 10280772 is about 217.4412366021.

Adding to 10280772 its reverse (27708201), we get a palindrome (37988973).

The spelling of 10280772 in words is "ten million, two hundred eighty thousand, seven hundred seventy-two".