11619072 has 108 divisors (see below), whose sum is σ = 35218120. Its totient is φ = 3778560.

The previous prime is 11619067. The next prime is 11619119. The reversal of 11619072 is 27091611.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (108).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 283372 + ... + 283412.

Almost surely, 2^11619072 is an apocalyptic number.

11619072 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 11619072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17609060).

11619072 is an abundant number, since it is smaller than the sum of its proper divisors (23599048).

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

11619072 is an frugal number, since it uses more digits than its factorization.

11619072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 27.

The square root of 11619072 is about 3408.6759892956. The cubic root of 11619072 is about 226.4942325622.

Multiplying 11619072 by its sum of digits (27), we get a square (313714944 = 17712²).

11619072 divided by its sum of digits (27) gives a square (430336 = 656²).

The spelling of 11619072 in words is "eleven million, six hundred nineteen thousand, seventy-two".