10113072 has 40 divisors (see below), whose sum is σ = 26575680. Its totient is φ = 3312960.

The previous prime is 10113071. The next prime is 10113091. The reversal of 10113072 is 27031101.

It is not an unprimeable number, because it can be changed into a prime (10113071) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1047 + ... + 4617.

It is an arithmetic number, because the mean of its divisors is an integer number (664392).

Almost surely, 2^10113072 is an apocalyptic number.

10113072 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 10113072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13287840).

10113072 is an abundant number, since it is smaller than the sum of its proper divisors (16462608).

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

10113072 is a wasteful number, since it uses less digits than its factorization.

10113072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3641 (or 3635 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 15.

The square root of 10113072 is about 3180.1056586221. The cubic root of 10113072 is about 216.2524483223.

Adding to 10113072 its reverse (27031101), we get a palindrome (37144173).

The spelling of 10113072 in words is "ten million, one hundred thirteen thousand, seventy-two".