725027730 has 128 divisors (see below), whose sum is σ = 2155051008. Its totient is φ = 152312832.

The previous prime is 725027629. The next prime is 725027777. The reversal of 725027730 is 37720527.

725027730 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 725027691 and 725027700.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 151149 + ... + 155871.

It is an arithmetic number, because the mean of its divisors is an integer number (16836336).

Almost surely, 2^725027730 is an apocalyptic number.

725027730 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 725027730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1077525504).

725027730 is an abundant number, since it is smaller than the sum of its proper divisors (1430023278).

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

725027730 is a wasteful number, since it uses less digits than its factorization.

725027730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4800.

The product of its (nonzero) digits is 20580, while the sum is 33.

The square root of 725027730 is about 26926.3389639216. The cubic root of 725027730 is about 898.3623428831.

It can be divided in two parts, 7250 and 27730, that added together give a triangular number (34980 = T₂₆₄).

The spelling of 725027730 in words is "seven hundred twenty-five million, twenty-seven thousand, seven hundred thirty".