725153120 has 96 divisors (see below), whose sum is σ = 1787274720. Its totient is φ = 277688320.

The previous prime is 725153119. The next prime is 725153123. The reversal of 725153120 is 21351527.

725153120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 725153120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (725153123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 607244 + ... + 608436.

It is an arithmetic number, because the mean of its divisors is an integer number (18617445).

Almost surely, 2^725153120 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 725153120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (893637360).

725153120 is an abundant number, since it is smaller than the sum of its proper divisors (1062121600).

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

725153120 is a wasteful number, since it uses less digits than its factorization.

725153120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1368 (or 1360 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 26.

The square root of 725153120 is about 26928.6672525768. The cubic root of 725153120 is about 898.4141290223.

The spelling of 725153120 in words is "seven hundred twenty-five million, one hundred fifty-three thousand, one hundred twenty".