725985216 has 168 divisors, whose sum is σ = 2288286000. Its totient is φ = 218234880.

The previous prime is 725985209. The next prime is 725985223. The reversal of 725985216 is 612589527.

725985216 is a `hidden beast` number, since 7 + 2 + 598 + 52 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (725985209) and next prime (725985223).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 943680 + ... + 944448.

It is an arithmetic number, because the mean of its divisors is an integer number (13620750).

Almost surely, 2^725985216 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 725985216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1144143000).

725985216 is an abundant number, since it is smaller than the sum of its proper divisors (1562300784).

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

725985216 is a wasteful number, since it uses less digits than its factorization.

725985216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 947 (or 934 counting only the distinct ones).

The product of its digits is 302400, while the sum is 45.

The square root of 725985216 is about 26944.1128263671. The cubic root of 725985216 is about 898.7576339669.

The spelling of 725985216 in words is "seven hundred twenty-five million, nine hundred eighty-five thousand, two hundred sixteen".