725671104 has 112 divisors (see below), whose sum is σ = 2051913600. Its totient is φ = 225662976.

The previous prime is 725671081. The next prime is 725671181. The reversal of 725671104 is 401176527.

It is a super-3 number, since 3×725671104³ (a number of 28 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 242932 + ... + 245900.

Almost surely, 2^725671104 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 725671104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1025956800).

725671104 is an abundant number, since it is smaller than the sum of its proper divisors (1326242496).

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

725671104 is a wasteful number, since it uses less digits than its factorization.

725671104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3070 (or 3060 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 33.

The square root of 725671104 is about 26938.2832415134. The cubic root of 725671104 is about 898.6279934557.

The spelling of 725671104 in words is "seven hundred twenty-five million, six hundred seventy-one thousand, one hundred four".