11920272 has 80 divisors (see below), whose sum is σ = 37914240. Its totient is φ = 3142656.

The previous prime is 11920229. The next prime is 11920289. The reversal of 11920272 is 27202911.

11920272 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3004 + ... + 5732.

It is an arithmetic number, because the mean of its divisors is an integer number (473928).

Almost surely, 2^11920272 is an apocalyptic number.

11920272 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 11920272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18957120).

11920272 is an abundant number, since it is smaller than the sum of its proper divisors (25993968).

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

11920272 is a wasteful number, since it uses less digits than its factorization.

11920272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2760 (or 2754 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 11920272 is about 3452.5746914441. The cubic root of 11920272 is about 228.4346893452.

The spelling of 11920272 in words is "eleven million, nine hundred twenty thousand, two hundred seventy-two".