79338672 has 120 divisors (see below), whose sum is σ = 262046720. Its totient is φ = 21928320.

The previous prime is 79338671. The next prime is 79338739. The reversal of 79338672 is 27683397.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (79338671) 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 23 ways as a sum of consecutive naturals, for example, 29979 + ... + 32517.

Almost surely, 2^79338672 is an apocalyptic number.

79338672 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 79338672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131023360).

79338672 is an abundant number, since it is smaller than the sum of its proper divisors (182708048).

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

79338672 is a wasteful number, since it uses less digits than its factorization.

79338672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2591 (or 2582 counting only the distinct ones).

The product of its digits is 381024, while the sum is 45.

The square root of 79338672 is about 8907.2258307511. The cubic root of 79338672 is about 429.6963278680.

The spelling of 79338672 in words is "seventy-nine million, three hundred thirty-eight thousand, six hundred seventy-two".