7572160512 has 324 divisors, whose sum is σ = 25640731116. Its totient is φ = 2146959360.

The previous prime is 7572160499. The next prime is 7572160517. The reversal of 7572160512 is 2150612757.

7572160512 is a `hidden beast` number, since 75 + 72 + 1 + 6 + 0 + 512 = 666.

It is a super-2 number, since 2×7572160512² (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 not an unprimeable number, because it can be changed into a prime (7572160517) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 57802687 + ... + 57802817.

It is an arithmetic number, because the mean of its divisors is an integer number (79138059).

Almost surely, 2^7572160512 is an apocalyptic number.

7572160512 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 7572160512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12820365558).

7572160512 is an abundant number, since it is smaller than the sum of its proper divisors (18068570604).

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

7572160512 is an equidigital number, since it uses as much as digits as its factorization.

7572160512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 36.

The square root of 7572160512 is about 87018.1619663390. The cubic root of 7572160512 is about 1963.6915462233.

The spelling of 7572160512 in words is "seven billion, five hundred seventy-two million, one hundred sixty thousand, five hundred twelve".