725000328 has 256 divisors, whose sum is σ = 2322432000. Its totient is φ = 207712512.

The previous prime is 725000327. The next prime is 725000351. The reversal of 725000328 is 823000527.

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

It is not an unprimeable number, because it can be changed into a prime (725000327) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5708601 + ... + 5708727.

It is an arithmetic number, because the mean of its divisors is an integer number (9072000).

Almost surely, 2^725000328 is an apocalyptic number.

725000328 is a gapful number since it is divisible by the number (78) 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 725000328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1161216000).

725000328 is an abundant number, since it is smaller than the sum of its proper divisors (1597431672).

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

725000328 is a wasteful number, since it uses less digits than its factorization.

725000328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 725000328 is about 26925.8301264789. The cubic root of 725000328 is about 898.3510250470.

The spelling of 725000328 in words is "seven hundred twenty-five million, three hundred twenty-eight", and thus it is an aban number.