725306652 has 144 divisors (see below), whose sum is σ = 2140250112. Its totient is φ = 202849920.

The previous prime is 725306651. The next prime is 725306711. The reversal of 725306652 is 256603527.

It is a happy number.

725306652 is a `hidden beast` number, since 72 + 530 + 6 + 6 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (725306651) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4192438 + ... + 4192610.

It is an arithmetic number, because the mean of its divisors is an integer number (14862848).

Almost surely, 2^725306652 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 725306652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1070125056).

725306652 is an abundant number, since it is smaller than the sum of its proper divisors (1414943460).

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

725306652 is a wasteful number, since it uses less digits than its factorization.

725306652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 725306652 is about 26931.5178183481. The cubic root of 725306652 is about 898.4775296939.

The spelling of 725306652 in words is "seven hundred twenty-five million, three hundred six thousand, six hundred fifty-two".