110064672 has 72 divisors (see below), whose sum is σ = 314053740. Its totient is φ = 36564480.

The previous prime is 110064671. The next prime is 110064707. The reversal of 110064672 is 276460011.

110064672 is a `hidden beast` number, since 1 + 10 + 0 + 646 + 7 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 109746576 + 318096 = 10476^2 + 564^2 .

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

It is a super-2 number, since 2×110064672² = 24228464044935168, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (110064671) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 132354 + ... + 133182.

Almost surely, 2^110064672 is an apocalyptic number.

110064672 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 110064672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157026870).

110064672 is an abundant number, since it is smaller than the sum of its proper divisors (203989068).

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

110064672 is a wasteful number, since it uses less digits than its factorization.

110064672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1306 (or 1295 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 110064672 is about 10491.1711453012. The cubic root of 110064672 is about 479.2358675238.

The spelling of 110064672 in words is "one hundred ten million, sixty-four thousand, six hundred seventy-two".