110079072 has 72 divisors (see below), whose sum is σ = 314299440. Its totient is φ = 36545280.

The previous prime is 110079071. The next prime is 110079091. The reversal of 110079072 is 270970011.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110079071) 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 11 ways as a sum of consecutive naturals, for example, 88954 + ... + 90182.

It is an arithmetic number, because the mean of its divisors is an integer number (4365270).

Almost surely, 2^110079072 is an apocalyptic number.

110079072 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 110079072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157149720).

110079072 is an abundant number, since it is smaller than the sum of its proper divisors (204220368).

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

110079072 is a wasteful number, since it uses less digits than its factorization.

110079072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1556 (or 1545 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 27.

The square root of 110079072 is about 10491.8574142046. The cubic root of 110079072 is about 479.2567664354.

The spelling of 110079072 in words is "one hundred ten million, seventy-nine thousand, seventy-two".