725366040 has 256 divisors, whose sum is σ = 2676326400. Its totient is φ = 153570816.

The previous prime is 725366039. The next prime is 725366041. The reversal of 725366040 is 40663527.

It is an interprime number because it is at equal distance from previous prime (725366039) and next prime (725366041).

It is a junction number, because it is equal to n+sod(n) for n = 725365992 and 725366010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (725366041) 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, 749637 + ... + 750603.

It is an arithmetic number, because the mean of its divisors is an integer number (10454400).

Almost surely, 2^725366040 is an apocalyptic number.

725366040 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 725366040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1338163200).

725366040 is an abundant number, since it is smaller than the sum of its proper divisors (1950960360).

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

725366040 is a wasteful number, since it uses less digits than its factorization.

725366040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1054 (or 1050 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 725366040 is about 26932.6203701014. The cubic root of 725366040 is about 898.5020514265.

The spelling of 725366040 in words is "seven hundred twenty-five million, three hundred sixty-six thousand, forty".