725735049534208 has 288 divisors, whose sum is σ = 1890237636080640. Its totient is φ = 270562372485120.

The previous prime is 725735049534149. The next prime is 725735049534217. The reversal of 725735049534208 is 802435940537527.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a self number, because there is not a number n which added to its sum of digits gives 725735049534208.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8440885 + ... + 39022027.

It is an arithmetic number, because the mean of its divisors is an integer number (6563325125280).

Almost surely, 2^{725735049534208} 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 725735049534208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (945118818040320).

725735049534208 is an abundant number, since it is smaller than the sum of its proper divisors (1164502586546432).

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

725735049534208 is a wasteful number, since it uses less digits than its factorization.

725735049534208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30581243 (or 30581229 counting only the distinct ones).

The product of its (nonzero) digits is 254016000, while the sum is 64.

The spelling of 725735049534208 in words is "seven hundred twenty-five trillion, seven hundred thirty-five billion, forty-nine million, five hundred thirty-four thousand, two hundred eight".