79104672 has 144 divisors (see below), whose sum is σ = 242004672. Its totient is φ = 24422400.

The previous prime is 79104671. The next prime is 79104677. The reversal of 79104672 is 27640197.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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 (79104671) 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 23 ways as a sum of consecutive naturals, for example, 523797 + ... + 523947.

It is an arithmetic number, because the mean of its divisors is an integer number (1680588).

Almost surely, 2^79104672 is an apocalyptic number.

79104672 is a gapful number since it is divisible by the number (72) 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 79104672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121002336).

79104672 is an abundant number, since it is smaller than the sum of its proper divisors (162900000).

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

79104672 is a wasteful number, since it uses less digits than its factorization.

79104672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 79104672 is about 8894.0807282147. The cubic root of 79104672 is about 429.2734657552.

The spelling of 79104672 in words is "seventy-nine million, one hundred four thousand, six hundred seventy-two".