725556040 has 128 divisors (see below), whose sum is σ = 1907712000. Its totient is φ = 245548800.

The previous prime is 725556019. The next prime is 725556047. The reversal of 725556040 is 40655527.

725556040 = 1936² + 1937² + ... + 2112².

It is a junction number, because it is equal to n+sod(n) for n = 725555987 and 725556005.

It is not an unprimeable number, because it can be changed into a prime (725556047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 492505 + ... + 493975.

It is an arithmetic number, because the mean of its divisors is an integer number (14904000).

Almost surely, 2^725556040 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 725556040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (953856000).

725556040 is an abundant number, since it is smaller than the sum of its proper divisors (1182155960).

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

725556040 is a wasteful number, since it uses less digits than its factorization.

725556040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1571 (or 1567 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 34.

The square root of 725556040 is about 26936.1474602438. The cubic root of 725556040 is about 898.5804948040.

The spelling of 725556040 in words is "seven hundred twenty-five million, five hundred fifty-six thousand, forty".