10288072 has 16 divisors (see below), whose sum is σ = 19812060. Its totient is φ = 5004864.

The previous prime is 10288067. The next prime is 10288079. The reversal of 10288072 is 27088201.

It can be written as a sum of positive squares in 2 ways, for example, as 10201636 + 86436 = 3194^2 + 294^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 10288072.

It is not an unprimeable number, because it can be changed into a prime (10288079) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17083 + ... + 17674.

Almost surely, 2^10288072 is an apocalyptic number.

It is an amenable number.

10288072 is a deficient number, since it is larger than the sum of its proper divisors (9523988).

10288072 is a wasteful number, since it uses less digits than its factorization.

10288072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34800 (or 34796 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 28.

The square root of 10288072 is about 3207.5024551822. The cubic root of 10288072 is about 217.4926901141.

The spelling of 10288072 in words is "ten million, two hundred eighty-eight thousand, seventy-two".