7072141824 has 360 divisors, whose sum is σ = 23097490416. Its totient is φ = 2065612800.

The previous prime is 7072141823. The next prime is 7072141837. The reversal of 7072141824 is 4281412707.

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 (7072141823) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 85206487 + ... + 85206569.

Almost surely, 2^7072141824 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 7072141824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11548745208).

7072141824 is an abundant number, since it is smaller than the sum of its proper divisors (16025348592).

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

7072141824 is a wasteful number, since it uses less digits than its factorization.

7072141824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 7072141824 is about 84096.0273972558. The cubic root of 7072141824 is about 1919.4802759955.

The spelling of 7072141824 in words is "seven billion, seventy-two million, one hundred forty-one thousand, eight hundred twenty-four".