725662000 has 160 divisors (see below), whose sum is σ = 2123971200. Its totient is φ = 234086400.

The previous prime is 725661997. The next prime is 725662001. The reversal of 725662000 is 266527.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 725662000.

It is not an unprimeable number, because it can be changed into a prime (725662001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 236476 + ... + 239524.

It is an arithmetic number, because the mean of its divisors is an integer number (13274820).

Almost surely, 2^725662000 is an apocalyptic number.

725662000 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 725662000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1061985600).

725662000 is an abundant number, since it is smaller than the sum of its proper divisors (1398309200).

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

725662000 is a wasteful number, since it uses less digits than its factorization.

725662000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3096 (or 3080 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 725662000 is about 26938.1142621379. The cubic root of 725662000 is about 898.6242354890.

The spelling of 725662000 in words is "seven hundred twenty-five million, six hundred sixty-two thousand".