725251620 has 96 divisors (see below), whose sum is σ = 2157902208. Its totient is φ = 181368832.

The previous prime is 725251613. The next prime is 725251627. The reversal of 725251620 is 26152527.

725251620 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (725251613) and next prime (725251627).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (725251627) 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, 322219 + ... + 324461.

It is an arithmetic number, because the mean of its divisors is an integer number (22478148).

Almost surely, 2^725251620 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 725251620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1078951104).

725251620 is an abundant number, since it is smaller than the sum of its proper divisors (1432650588).

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

725251620 is a wasteful number, since it uses less digits than its factorization.

725251620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2589 (or 2587 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 725251620 is about 26930.4960964331. The cubic root of 725251620 is about 898.4548053902.

The spelling of 725251620 in words is "seven hundred twenty-five million, two hundred fifty-one thousand, six hundred twenty".