7114077072 has 100 divisors (see below), whose sum is σ = 20676547276. Its totient is φ = 2361415680.

The previous prime is 7114077059. The next prime is 7114077083. The reversal of 7114077072 is 2707704117.

It can be written as a sum of positive squares in 2 ways, for example, as 5929616016 + 1184461056 = 77004^2 + 34416^2 .

It is a super-2 number, since 2×7114077072² (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 (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 300948 + ... + 323724.

Almost surely, 2^7114077072 is an apocalyptic number.

7114077072 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 7114077072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10338273638).

7114077072 is an abundant number, since it is smaller than the sum of its proper divisors (13562470204).

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

7114077072 is a wasteful number, since it uses less digits than its factorization.

7114077072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23038 (or 23023 counting only the distinct ones).

The product of its (nonzero) digits is 19208, while the sum is 36.

The square root of 7114077072 is about 84344.9884225494. The cubic root of 7114077072 is about 1923.2667434038.

The spelling of 7114077072 in words is "seven billion, one hundred fourteen million, seventy-seven thousand, seventy-two".