1095226272 has 336 divisors, whose sum is σ = 3900173760. Its totient is φ = 295612416.

The previous prime is 1095226261. The next prime is 1095226273. The reversal of 1095226272 is 2726225901.

It is a happy number.

1095226272 is a `hidden beast` number, since 1 + 0 + 9 + 5 + 22 + 627 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1095226273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3102448 + ... + 3102800.

It is an arithmetic number, because the mean of its divisors is an integer number (11607660).

Almost surely, 2^1095226272 is an apocalyptic number.

1095226272 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 1095226272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1950086880).

1095226272 is an abundant number, since it is smaller than the sum of its proper divisors (2804947488).

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

1095226272 is an equidigital number, since it uses as much as digits as its factorization.

1095226272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 1095226272 is about 33094.2029968996. The cubic root of 1095226272 is about 1030.7846699289.

The spelling of 1095226272 in words is "one billion, ninety-five million, two hundred twenty-six thousand, two hundred seventy-two".