712006512 has 160 divisors (see below), whose sum is σ = 2298138624. Its totient is φ = 185241600.

The previous prime is 712006507. The next prime is 712006517. The reversal of 712006512 is 215600217.

It is an interprime number because it is at equal distance from previous prime (712006507) and next prime (712006517).

It is a super-2 number, since 2×712006512² = 1013906546260812288, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (712006517) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 175062 + ... + 179082.

Almost surely, 2^712006512 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 712006512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1149069312).

712006512 is an abundant number, since it is smaller than the sum of its proper divisors (1586132112).

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

712006512 is a wasteful number, since it uses less digits than its factorization.

712006512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4087 (or 4081 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 712006512 is about 26683.4501517326. The cubic root of 712006512 is about 892.9517414326.

Adding to 712006512 its reverse (215600217), we get a palindrome (927606729).

The spelling of 712006512 in words is "seven hundred twelve million, six thousand, five hundred twelve".