8005353372 has 72 divisors (see below), whose sum is σ = 22035358800. Its totient is φ = 2440827648.

The previous prime is 8005353341. The next prime is 8005353383. The reversal of 8005353372 is 2733535008.

8005353372 is a `hidden beast` number, since 8 + 0 + 0 + 53 + 533 + 72 = 666.

It is a super-2 number, since 2×8005353372² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 181953 + ... + 221624.

It is an arithmetic number, because the mean of its divisors is an integer number (306046650).

Almost surely, 2^8005353372 is an apocalyptic number.

It is an amenable number.

8005353372 is an abundant number, since it is smaller than the sum of its proper divisors (14030005428).

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

8005353372 is a wasteful number, since it uses less digits than its factorization.

8005353372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403635 (or 403630 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 8005353372 is about 89472.6403544681. The cubic root of 8005353372 is about 2000.4460148613.

The spelling of 8005353372 in words is "eight billion, five million, three hundred fifty-three thousand, three hundred seventy-two".