8000074272 has 96 divisors (see below), whose sum is σ = 21888921600. Its totient is φ = 2555516160.

The previous prime is 8000074267. The next prime is 8000074273. The reversal of 8000074272 is 2724700008.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (8000074273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 293479 + ... + 319577.

It is an arithmetic number, because the mean of its divisors is an integer number (228009600).

Almost surely, 2^8000074272 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 8000074272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10944460800).

8000074272 is an abundant number, since it is smaller than the sum of its proper divisors (13888847328).

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

8000074272 is a wasteful number, since it uses less digits than its factorization.

8000074272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26246 (or 26238 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 30.

The square root of 8000074272 is about 89443.1342921300. The cubic root of 8000074272 is about 2000.0061893142.

The spelling of 8000074272 in words is "eight billion, seventy-four thousand, two hundred seventy-two".