711027072 has 320 divisors, whose sum is σ = 2467412640. Its totient is φ = 199065600.

The previous prime is 711027071. The next prime is 711027077. The reversal of 711027072 is 270720117.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (711027071) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 7039822 + ... + 7039922.

Almost surely, 2^711027072 is an apocalyptic number.

711027072 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 711027072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1233706320).

711027072 is an abundant number, since it is smaller than the sum of its proper divisors (1756385568).

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

711027072 is a wasteful number, since it uses less digits than its factorization.

711027072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 1372, while the sum is 27.

The square root of 711027072 is about 26665.0908867755. The cubic root of 711027072 is about 892.5421037972.

Adding to 711027072 its reverse (270720117), we get a palindrome (981747189).

The spelling of 711027072 in words is "seven hundred eleven million, twenty-seven thousand, seventy-two".