725329920 has 192 divisors, whose sum is σ = 2652773760. Its totient is φ = 165740544.

The previous prime is 725329903. The next prime is 725329961. The reversal of 725329920 is 29923527.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×725329920² = 1052206985694412800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 213354 + ... + 216726.

It is an arithmetic number, because the mean of its divisors is an integer number (13816530).

Almost surely, 2^725329920 is an apocalyptic number.

725329920 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 725329920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1326386880).

725329920 is an abundant number, since it is smaller than the sum of its proper divisors (1927443840).

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

725329920 is a wasteful number, since it uses less digits than its factorization.

725329920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3410 (or 3390 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 39.

The square root of 725329920 is about 26931.9497994482. The cubic root of 725329920 is about 898.4871373780.

It can be divided in two parts, 7253 and 29920, that added together give a palindrome (37173).

The spelling of 725329920 in words is "seven hundred twenty-five million, three hundred twenty-nine thousand, nine hundred twenty".