11349072 has 140 divisors (see below), whose sum is σ = 37948960. Its totient is φ = 3219264.

The previous prime is 11349071. The next prime is 11349073. The reversal of 11349072 is 27094311.

It is an interprime number because it is at equal distance from previous prime (11349071) and next prime (11349073).

It is a super-2 number, since 2×11349072² = 257602870522368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11349071) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 81579 + ... + 81717.

It is an arithmetic number, because the mean of its divisors is an integer number (271064).

Almost surely, 2^11349072 is an apocalyptic number.

11349072 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 11349072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18974480).

11349072 is an abundant number, since it is smaller than the sum of its proper divisors (26599888).

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

11349072 is an equidigital number, since it uses as much as digits as its factorization.

11349072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 11349072 is about 3368.8383754642. The cubic root of 11349072 is about 224.7260666265.

The spelling of 11349072 in words is "eleven million, three hundred forty-nine thousand, seventy-two".