725361480 has 160 divisors (see below), whose sum is σ = 2566555200. Its totient is φ = 183233664.

The previous prime is 725361449. The next prime is 725361503. The reversal of 725361480 is 84163527.

725361480 is a `hidden beast` number, since 72 + 53 + 61 + 480 = 666.

It is a super-2 number, since 2×725361480² = 1052298553335580800, which contains 22 as substring.

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

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 39 ways as a sum of consecutive naturals, for example, 55669 + ... + 67451.

It is an arithmetic number, because the mean of its divisors is an integer number (16040970).

Almost surely, 2^725361480 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 725361480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1283277600).

725361480 is an abundant number, since it is smaller than the sum of its proper divisors (1841193720).

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

725361480 is a wasteful number, since it uses less digits than its factorization.

725361480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11825 (or 11812 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 725361480 is about 26932.5357142620. The cubic root of 725361480 is about 898.5001686171.

The spelling of 725361480 in words is "seven hundred twenty-five million, three hundred sixty-one thousand, four hundred eighty".