725078016 has 312 divisors, whose sum is σ = 2415034440. Its totient is φ = 207618048.

The previous prime is 725078009. The next prime is 725078041. The reversal of 725078016 is 610870527.

725078016 is a `hidden beast` number, since 72 + 507 + 80 + 1 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 23040000 + 702038016 = 4800^2 + 26496^2 .

It is a tau number, because it is divible by the number of its divisors (312).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8146900 + ... + 8146988.

It is an arithmetic number, because the mean of its divisors is an integer number (7740495).

Almost surely, 2^725078016 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 725078016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1207517220).

725078016 is an abundant number, since it is smaller than the sum of its proper divisors (1689956424).

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

725078016 is a wasteful number, since it uses less digits than its factorization.

725078016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 725078016 is about 26927.2727174514. The cubic root of 725078016 is about 898.3831117459.

The spelling of 725078016 in words is "seven hundred twenty-five million, seventy-eight thousand, sixteen".