712563000 has 192 divisors, whose sum is σ = 2329236000. Its totient is φ = 181350400.

The previous prime is 712562999. The next prime is 712563011. The reversal of 712563000 is 365217.

712563000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1586776 + ... + 1587224.

Almost surely, 2^712563000 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 712563000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1164618000).

712563000 is an abundant number, since it is smaller than the sum of its proper divisors (1616673000).

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

712563000 is a wasteful number, since it uses less digits than its factorization.

712563000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 712563000 is about 26693.8757021156. The cubic root of 712563000 is about 893.1843177348.

It can be divided in two parts, 7125 and 63000, that added together give a triangular number (70125 = T₃₇₄).

The spelling of 712563000 in words is "seven hundred twelve million, five hundred sixty-three thousand".