725004000 has 576 divisors, whose sum is σ = 3092281920. Its totient is φ = 164505600.

The previous prime is 725003941. The next prime is 725004019. The reversal of 725004000 is 400527.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5291932 + ... + 5292068.

It is an arithmetic number, because the mean of its divisors is an integer number (5368545).

Almost surely, 2^725004000 is an apocalyptic number.

725004000 is a gapful number since it is divisible by the number (70) 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 725004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1546140960).

725004000 is an abundant number, since it is smaller than the sum of its proper divisors (2367277920).

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

725004000 is a wasteful number, since it uses less digits than its factorization.

725004000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 725004000 is about 26925.8983137053. The cubic root of 725004000 is about 898.3525417081.

Adding to 725004000 its reverse (400527), we get a palindrome (725404527).

The spelling of 725004000 in words is "seven hundred twenty-five million, four thousand".