11202072 has 64 divisors (see below), whose sum is σ = 32313600. Its totient is φ = 3169920.

The previous prime is 11202071. The next prime is 11202073. The reversal of 11202072 is 27020211.

11202072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11202071) and next prime (11202073).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11202071) 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, 21754 + ... + 22262.

It is an arithmetic number, because the mean of its divisors is an integer number (504900).

Almost surely, 2^11202072 is an apocalyptic number.

11202072 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 11202072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16156800).

11202072 is an abundant number, since it is smaller than the sum of its proper divisors (21111528).

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

11202072 is a wasteful number, since it uses less digits than its factorization.

11202072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 15.

The square root of 11202072 is about 3346.9496560301. The cubic root of 11202072 is about 223.7515847292.

Adding to 11202072 its reverse (27020211), we get a palindrome (38222283).

The spelling of 11202072 in words is "eleven million, two hundred two thousand, seventy-two".