712368000 has 512 divisors, whose sum is σ = 2806876800. Its totient is φ = 176947200.

The previous prime is 712367987. The next prime is 712368011. The reversal of 712368000 is 863217.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7343952 + ... + 7344048.

Almost surely, 2^712368000 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 712368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1403438400).

712368000 is an abundant number, since it is smaller than the sum of its proper divisors (2094508800).

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

712368000 is a wasteful number, since it uses less digits than its factorization.

712368000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 712368000 is about 26690.2229290053. Note that the first 3 decimals coincide. The cubic root of 712368000 is about 893.1028340240.

The spelling of 712368000 in words is "seven hundred twelve million, three hundred sixty-eight thousand".