79872000 has 240 divisors, whose sum is σ = 286252512. Its totient is φ = 19660800.

The previous prime is 79871929. The next prime is 79872019. The reversal of 79872000 is 27897.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6143994 + ... + 6144006.

Almost surely, 2^79872000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143126256).

79872000 is an abundant number, since it is smaller than the sum of its proper divisors (206380512).

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

79872000 is an equidigital number, since it uses as much as digits as its factorization.

79872000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 33.

The square root of 79872000 is about 8937.1136280121. The cubic root of 79872000 is about 430.6570089670.

Adding to 79872000 its reverse (27897), we get a palindrome (79899897).

The spelling of 79872000 in words is "seventy-nine million, eight hundred seventy-two thousand".