8013508272 has 240 divisors, whose sum is σ = 28557315072. Its totient is φ = 2037012480.

The previous prime is 8013508247. The next prime is 8013508273. The reversal of 8013508272 is 2728053108.

8013508272 is a `hidden beast` number, since 80 + 1 + 3 + 508 + 2 + 72 = 666.

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 (8013508273) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 513448 + ... + 528824.

Almost surely, 2^8013508272 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 8013508272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14278657536).

8013508272 is an abundant number, since it is smaller than the sum of its proper divisors (20543806800).

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

8013508272 is a wasteful number, since it uses less digits than its factorization.

8013508272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15456 (or 15447 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 8013508272 is about 89518.2007862088. The cubic root of 8013508272 is about 2001.1250563388.

The spelling of 8013508272 in words is "eight billion, thirteen million, five hundred eight thousand, two hundred seventy-two".