725007360 has 352 divisors, whose sum is σ = 2895800832. Its totient is φ = 150405120.

The previous prime is 725007343. The next prime is 725007401. The reversal of 725007360 is 63700527.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent 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 31 ways as a sum of consecutive naturals, for example, 1182414 + ... + 1183026.

Almost surely, 2^725007360 is an apocalyptic number.

725007360 is a gapful number since it is divisible by the number (70) 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 725007360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1447900416).

725007360 is an abundant number, since it is smaller than the sum of its proper divisors (2170793472).

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

725007360 is a wasteful number, since it uses less digits than its factorization.

725007360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 30.

The square root of 725007360 is about 26925.9607070946. The cubic root of 725007360 is about 898.3539294980.

Adding to 725007360 its reverse (63700527), we get a palindrome (788707887).

The spelling of 725007360 in words is "seven hundred twenty-five million, seven thousand, three hundred sixty".