725918010 has 64 divisors (see below), whose sum is σ = 1802870784. Its totient is φ = 186868800.

The previous prime is 725917993. The next prime is 725918021. The reversal of 725918010 is 10819527.

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, 530347 + ... + 531713.

It is an arithmetic number, because the mean of its divisors is an integer number (28169856).

Almost surely, 2^725918010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 725918010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (901435392).

725918010 is an abundant number, since it is smaller than the sum of its proper divisors (1076952774).

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

725918010 is a wasteful number, since it uses less digits than its factorization.

725918010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1979.

The product of its (nonzero) digits is 5040, while the sum is 33.

The square root of 725918010 is about 26942.8656605046. The cubic root of 725918010 is about 898.7298998073.

It can be divided in two parts, 72591 and 8010, that added together give a triangular number (80601 = T₄₀₁).

The spelling of 725918010 in words is "seven hundred twenty-five million, nine hundred eighteen thousand, ten".