712890625 has 22 divisors (see below), whose sum is σ = 903320294. Its totient is φ = 562500000.

The previous prime is 712890617. The next prime is 712890641. The reversal of 712890625 is 526098217.

712890625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 11 ways, for example, as 55532304 + 657358321 = 7452^2 + 25639^2 .

It is a trimorphic number since its cube, 362300314009189605712890625, ends in 712890625.

It is not a de Polignac number, because 712890625 - 2³ = 712890617 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 21 ways as a sum of consecutive naturals, for example, 9765589 + ... + 9765661.

Almost surely, 2^712890625 is an apocalyptic number.

It is an amenable number.

712890625 is a deficient number, since it is larger than the sum of its proper divisors (190429669).

712890625 is an frugal number, since it uses more digits than its factorization.

712890625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 40.

The square root of 712890625 is about 26700.0117041173. The cubic root of 712890625 is about 893.3211873519.

The spelling of 712890625 in words is "seven hundred twelve million, eight hundred ninety thousand, six hundred twenty-five".