10517472 has 192 divisors, whose sum is σ = 36771840. Its totient is φ = 2861568.

The previous prime is 10517471. The next prime is 10517473. The reversal of 10517472 is 27471501.

It is an interprime number because it is at equal distance from previous prime (10517471) and next prime (10517473).

It is a super-2 number, since 2×10517472² = 221234434541568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10517471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 223753 + ... + 223799.

It is an arithmetic number, because the mean of its divisors is an integer number (191520).

Almost surely, 2^10517472 is an apocalyptic number.

10517472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10517472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18385920).

10517472 is an abundant number, since it is smaller than the sum of its proper divisors (26254368).

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

10517472 is a wasteful number, since it uses less digits than its factorization.

10517472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 10517472 is about 3243.0652167356. The cubic root of 10517472 is about 219.0973483517.

Adding to 10517472 its reverse (27471501), we get a palindrome (37988973).

The spelling of 10517472 in words is "ten million, five hundred seventeen thousand, four hundred seventy-two".