725578380 has 72 divisors (see below), whose sum is σ = 2205285264. Its totient is φ = 193104000.

The previous prime is 725578369. The next prime is 725578391. The reversal of 725578380 is 83875527.

725578380 is a `hidden beast` number, since 72 + 5 + 578 + 3 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (725578369) and next prime (725578391).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93655 + ... + 101105.

It is an arithmetic number, because the mean of its divisors is an integer number (30628962).

Almost surely, 2^725578380 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 725578380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1102642632).

725578380 is an abundant number, since it is smaller than the sum of its proper divisors (1479706884).

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

725578380 is a wasteful number, since it uses less digits than its factorization.

725578380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8007 (or 8002 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The square root of 725578380 is about 26936.5621414463. The cubic root of 725578380 is about 898.5897171940.

The spelling of 725578380 in words is "seven hundred twenty-five million, five hundred seventy-eight thousand, three hundred eighty".