725187840 has 288 divisors, whose sum is σ = 2541100800. Its totient is φ = 175177728.

The previous prime is 725187809. The next prime is 725187871. The reversal of 725187840 is 48781527.

It is an interprime number because it is at equal distance from previous prime (725187809) and next prime (725187871).

It is a junction number, because it is equal to n+sod(n) for n = 725187792 and 725187801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3644061 + ... + 3644259.

Almost surely, 2^725187840 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 725187840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1270550400).

725187840 is an abundant number, since it is smaller than the sum of its proper divisors (1815912960).

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

725187840 is a wasteful number, since it uses less digits than its factorization.

725187840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 125440, while the sum is 42.

The square root of 725187840 is about 26929.3119110014. The cubic root of 725187840 is about 898.4284673461.

The spelling of 725187840 in words is "seven hundred twenty-five million, one hundred eighty-seven thousand, eight hundred forty".