10717872 has 80 divisors (see below), whose sum is σ = 30855168. Its totient is φ = 3178240.

The previous prime is 10717859. The next prime is 10717877. The reversal of 10717872 is 27871701.

It is a super-2 number, since 2×10717872² = 229745560416768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (10717877) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27793 + ... + 28175.

Almost surely, 2^10717872 is an apocalyptic number.

10717872 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 10717872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15427584).

10717872 is an abundant number, since it is smaller than the sum of its proper divisors (20137296).

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

10717872 is a wasteful number, since it uses less digits than its factorization.

10717872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 5488, while the sum is 33.

The square root of 10717872 is about 3273.8161218981. The cubic root of 10717872 is about 220.4801633730.

The spelling of 10717872 in words is "ten million, seven hundred seventeen thousand, eight hundred seventy-two".