1101766272 has 64 divisors (see below), whose sum is σ = 2952581760. Its totient is φ = 363991040.

The previous prime is 1101766271. The next prime is 1101766273. The reversal of 1101766272 is 2726671011.

It is an interprime number because it is at equal distance from previous prime (1101766271) and next prime (1101766273).

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (1101766271) 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 7 ways as a sum of consecutive naturals, for example, 30697 + ... + 56087.

It is an arithmetic number, because the mean of its divisors is an integer number (46134090).

Almost surely, 2^1101766272 is an apocalyptic number.

1101766272 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 1101766272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1476290880).

1101766272 is an abundant number, since it is smaller than the sum of its proper divisors (1850815488).

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

1101766272 is a wasteful number, since it uses less digits than its factorization.

1101766272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25521 (or 25509 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 33.

The square root of 1101766272 is about 33192.8647754303. The cubic root of 1101766272 is about 1032.8323313498.

The spelling of 1101766272 in words is "one billion, one hundred one million, seven hundred sixty-six thousand, two hundred seventy-two".