711872000 has 240 divisors, whose sum is σ = 2074005648. Its totient is φ = 242995200.

The previous prime is 711871939. The next prime is 711872023. The reversal of 711872000 is 278117.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3135887 + ... + 3136113.

Almost surely, 2^711872000 is an apocalyptic number.

711872000 is a gapful number since it is divisible by the number (70) 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 711872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1037002824).

711872000 is an abundant number, since it is smaller than the sum of its proper divisors (1362133648).

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

711872000 is an equidigital number, since it uses as much as digits as its factorization.

711872000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 26.

The square root of 711872000 is about 26680.9295190404. The cubic root of 711872000 is about 892.8955058564.

The spelling of 711872000 in words is "seven hundred eleven million, eight hundred seventy-two thousand".