712071360 has 1008 divisors, whose sum is σ = 3480572160. Its totient is φ = 129392640.

The previous prime is 712071343. The next prime is 712071389. The reversal of 712071360 is 63170217.

It is a tau number, because it is divible by the number of its divisors (1008).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 37477431 + ... + 37477449.

Almost surely, 2^712071360 is an apocalyptic number.

712071360 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 712071360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1740286080).

712071360 is an abundant number, since it is smaller than the sum of its proper divisors (2768500800).

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

712071360 is a wasteful number, since it uses less digits than its factorization.

712071360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 712071360 is about 26684.6652592833. The cubic root of 712071360 is about 892.9788499752.

The spelling of 712071360 in words is "seven hundred twelve million, seventy-one thousand, three hundred sixty".