10011072 has 56 divisors (see below), whose sum is σ = 27651456. Its totient is φ = 3190528.

The previous prime is 10011059. The next prime is 10011077. The reversal of 10011072 is 27011001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011077) 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, 3283 + ... + 5549.

It is an arithmetic number, because the mean of its divisors is an integer number (493776).

Almost surely, 2^10011072 is an apocalyptic number.

10011072 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 10011072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13825728).

10011072 is an abundant number, since it is smaller than the sum of its proper divisors (17640384).

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

10011072 is a wasteful number, since it uses less digits than its factorization.

10011072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2305 (or 2295 counting only the distinct ones).

The product of its (nonzero) digits is 14, while the sum is 12.

The square root of 10011072 is about 3164.0278127728. The cubic root of 10011072 is about 215.5229526786.

Adding to 10011072 its reverse (27011001), we get a palindrome (37022073).

The spelling of 10011072 in words is "ten million, eleven thousand, seventy-two".