10117072 has 40 divisors (see below), whose sum is σ = 22645376. Its totient is φ = 4288896.

The previous prime is 10117061. The next prime is 10117073. The reversal of 10117072 is 27071101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10117073) 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 7 ways as a sum of consecutive naturals, for example, 11098 + ... + 11974.

Almost surely, 2^10117072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10117072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11322688).

10117072 is an abundant number, since it is smaller than the sum of its proper divisors (12528304).

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

10117072 is a wasteful number, since it uses less digits than its factorization.

10117072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 995 (or 989 counting only the distinct ones).

The product of its (nonzero) digits is 98, while the sum is 19.

The square root of 10117072 is about 3180.7345063680. The cubic root of 10117072 is about 216.2809558412.

Adding to 10117072 its reverse (27071101), we get a palindrome (37188173).

The spelling of 10117072 in words is "ten million, one hundred seventeen thousand, seventy-two".