11770272 has 120 divisors (see below), whose sum is σ = 36590400. Its totient is φ = 3701376.

The previous prime is 11770267. The next prime is 11770277. The reversal of 11770272 is 27207711.

It is an interprime number because it is at equal distance from previous prime (11770267) and next prime (11770277).

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

It is not an unprimeable number, because it can be changed into a prime (11770277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 49129 + ... + 49367.

It is an arithmetic number, because the mean of its divisors is an integer number (304920).

Almost surely, 2^11770272 is an apocalyptic number.

11770272 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 11770272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18295200).

11770272 is an abundant number, since it is smaller than the sum of its proper divisors (24820128).

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

11770272 is a wasteful number, since it uses less digits than its factorization.

11770272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 1372, while the sum is 27.

The square root of 11770272 is about 3430.7830010072. The cubic root of 11770272 is about 227.4724645658.

Adding to 11770272 its reverse (27207711), we get a palindrome (38977983).

The spelling of 11770272 in words is "eleven million, seven hundred seventy thousand, two hundred seventy-two".