725516064 has 576 divisors, whose sum is σ = 2817884160. Its totient is φ = 171694080.

The previous prime is 725515981. The next prime is 725516093. The reversal of 725516064 is 460615527.

It is a happy number.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15436489 + ... + 15436535.

It is an arithmetic number, because the mean of its divisors is an integer number (4892160).

Almost surely, 2^725516064 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 725516064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1408942080).

725516064 is an abundant number, since it is smaller than the sum of its proper divisors (2092368096).

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

725516064 is a wasteful number, since it uses less digits than its factorization.

725516064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 725516064 is about 26935.4053988426. The cubic root of 725516064 is about 898.5639914550.

The spelling of 725516064 in words is "seven hundred twenty-five million, five hundred sixteen thousand, sixty-four".