723307725625 has 15 divisors (see below), whose sum is σ = 903871903561. Its totient is φ = 578629171000.

The previous prime is 723307725617. The next prime is 723307725659. The reversal of 723307725625 is 526527703327.

It is a happy number.

The square root of 723307725625 is 850475.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 56707325689 + 666600399936 = 238133^2 + 816456^2 .

It is not a de Polignac number, because 723307725625 - 2³ = 723307725617 is a prime.

It is a Duffinian number.

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 14 ways as a sum of consecutive naturals, for example, 21244866 + ... + 21278884.

Almost surely, 2^723307725625 is an apocalyptic number.

723307725625 is the 850475-th square number.

723307725625 is the 425238-th centered octagonal number.

It is an amenable number.

723307725625 is a deficient number, since it is larger than the sum of its proper divisors (180564177936).

723307725625 is an frugal number, since it uses more digits than its factorization.

723307725625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68058 (or 34024 counting only the distinct ones).

The product of its (nonzero) digits is 3704400, while the sum is 49.

Multiplying 723307725625 by its sum of digits (49), we get a square (35442078555625 = 5953325²).

The spelling of 723307725625 in words is "seven hundred twenty-three billion, three hundred seven million, seven hundred twenty-five thousand, six hundred twenty-five".