712068000 has 384 divisors, whose sum is σ = 2736115200. Its totient is φ = 161817600.

The previous prime is 712067963. The next prime is 712068013. The reversal of 712068000 is 860217.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4115914 + ... + 4116086.

It is an arithmetic number, because the mean of its divisors is an integer number (7125300).

Almost surely, 2^712068000 is an apocalyptic number.

712068000 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 712068000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1368057600).

712068000 is an abundant number, since it is smaller than the sum of its proper divisors (2024047200).

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

712068000 is a wasteful number, since it uses less digits than its factorization.

712068000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 712068000 is about 26684.6023017020. The cubic root of 712068000 is about 892.9774454279.

The spelling of 712068000 in words is "seven hundred twelve million, sixty-eight thousand".