725955840 has 432 divisors, whose sum is σ = 2711938320. Its totient is φ = 178913280.

The previous prime is 725955827. The next prime is 725955899. The reversal of 725955840 is 48559527.

725955840 is a `hidden beast` number, since 7 + 2 + 59 + 558 + 40 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 36578304 + 689377536 = 6048^2 + 26256^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13697254 + ... + 13697306.

It is an arithmetic number, because the mean of its divisors is an integer number (6277635).

Almost surely, 2^725955840 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 725955840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1355969160).

725955840 is an abundant number, since it is smaller than the sum of its proper divisors (1985982480).

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

725955840 is a wasteful number, since it uses less digits than its factorization.

725955840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The square root of 725955840 is about 26943.5676924939. The cubic root of 725955840 is about 898.7455114701.

The spelling of 725955840 in words is "seven hundred twenty-five million, nine hundred fifty-five thousand, eight hundred forty".