7241188032 has 168 divisors, whose sum is σ = 22636927040. Its totient is φ = 2199674880.

The previous prime is 7241188001. The next prime is 7241188067. The reversal of 7241188032 is 2308811427.

It is a super-2 number, since 2×7241188032² (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 an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 585432 + ... + 597672.

Almost surely, 2^7241188032 is an apocalyptic number.

7241188032 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 7241188032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11318463520).

7241188032 is an abundant number, since it is smaller than the sum of its proper divisors (15395739008).

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

7241188032 is a wasteful number, since it uses less digits than its factorization.

7241188032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12351 (or 12338 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 7241188032 is about 85095.1704387505. The cubic root of 7241188032 is about 1934.6538635313.

Adding to 7241188032 its reverse (2308811427), we get a palindrome (9549999459).

The spelling of 7241188032 in words is "seven billion, two hundred forty-one million, one hundred eighty-eight thousand, thirty-two".