10519872 has 112 divisors (see below), whose sum is σ = 32260032. Its totient is φ = 2990080.

The previous prime is 10519867. The next prime is 10519879. The reversal of 10519872 is 27891501.

It is a super-3 number, since 3×10519872³ (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10519879) 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, 35758 + ... + 36050.

It is an arithmetic number, because the mean of its divisors is an integer number (288036).

Almost surely, 2^10519872 is an apocalyptic number.

10519872 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 10519872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16130016).

10519872 is an abundant number, since it is smaller than the sum of its proper divisors (21740160).

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

10519872 is a wasteful number, since it uses less digits than its factorization.

10519872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 33.

The square root of 10519872 is about 3243.4352159400. The cubic root of 10519872 is about 219.1140124843.

The spelling of 10519872 in words is "ten million, five hundred nineteen thousand, eight hundred seventy-two".