725507064 has 64 divisors (see below), whose sum is σ = 2030090400. Its totient is φ = 240060672.

The previous prime is 725507059. The next prime is 725507119. The reversal of 725507064 is 460705527.

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 (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17334 + ... + 41850.

Almost surely, 2^725507064 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 725507064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1015045200).

725507064 is an abundant number, since it is smaller than the sum of its proper divisors (1304583336).

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

725507064 is a wasteful number, since it uses less digits than its factorization.

725507064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24669 (or 24659 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 725507064 is about 26935.2383319695. The cubic root of 725507064 is about 898.5602758886.

The spelling of 725507064 in words is "seven hundred twenty-five million, five hundred seven thousand, sixty-four".