725017500 has 240 divisors, whose sum is σ = 2456213760. Its totient is φ = 184536000.

The previous prime is 725017493. The next prime is 725017511. The reversal of 725017500 is 5710527.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1552267 + ... + 1552733.

It is an arithmetic number, because the mean of its divisors is an integer number (10234224).

Almost surely, 2^725017500 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 725017500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1228106880).

725017500 is an abundant number, since it is smaller than the sum of its proper divisors (1731196260).

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

725017500 is a wasteful number, since it uses less digits than its factorization.

725017500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 2450, while the sum is 27.

The square root of 725017500 is about 26926.1490005533. The cubic root of 725017500 is about 898.3581176240.

The spelling of 725017500 in words is "seven hundred twenty-five million, seventeen thousand, five hundred".