79716672 has 168 divisors, whose sum is σ = 276734016. Its totient is φ = 21417984.

The previous prime is 79716671. The next prime is 79716673. The reversal of 79716672 is 27661797.

It is an interprime number because it is at equal distance from previous prime (79716671) and next prime (79716673).

It is a tau number, because it is divible by the number of its divisors (168).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79716671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67963 + ... + 69125.

Almost surely, 2^79716672 is an apocalyptic number.

79716672 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 79716672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138367008).

79716672 is an abundant number, since it is smaller than the sum of its proper divisors (197017344).

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

79716672 is a wasteful number, since it uses less digits than its factorization.

79716672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1205 (or 1192 counting only the distinct ones).

The product of its digits is 222264, while the sum is 45.

The square root of 79716672 is about 8928.4193449905. The cubic root of 79716672 is about 430.3776599194.

The spelling of 79716672 in words is "seventy-nine million, seven hundred sixteen thousand, six hundred seventy-two".