725615712 has 96 divisors (see below), whose sum is σ = 2165708160. Its totient is φ = 236234880.

The previous prime is 725615651. The next prime is 725615717. The reversal of 725615712 is 217516527.

725615712 is a `hidden beast` number, since 7 + 25 + 61 + 571 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (725615717) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27387 + ... + 46917.

It is an arithmetic number, because the mean of its divisors is an integer number (22559460).

Almost surely, 2^725615712 is an apocalyptic number.

725615712 is a gapful number since it is divisible by the number (72) 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 725615712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1082854080).

725615712 is an abundant number, since it is smaller than the sum of its proper divisors (1440092448).

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

725615712 is a wasteful number, since it uses less digits than its factorization.

725615712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19593 (or 19579 counting only the distinct ones).

The product of its digits is 29400, while the sum is 36.

The square root of 725615712 is about 26937.2550940143. The cubic root of 725615712 is about 898.6051281530.

The spelling of 725615712 in words is "seven hundred twenty-five million, six hundred fifteen thousand, seven hundred twelve".