725991120 has 240 divisors, whose sum is σ = 2658669120. Its totient is φ = 182052864.

The previous prime is 725991107. The next prime is 725991157. The reversal of 725991120 is 21199527.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 623659 + ... + 624821.

It is an arithmetic number, because the mean of its divisors is an integer number (11077788).

Almost surely, 2^725991120 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 725991120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1329334560).

725991120 is an abundant number, since it is smaller than the sum of its proper divisors (1932678000).

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

725991120 is a wasteful number, since it uses less digits than its factorization.

725991120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1219 (or 1190 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The square root of 725991120 is about 26944.2223862556. Note that the first 3 decimals coincide. The cubic root of 725991120 is about 898.7600703116.

The spelling of 725991120 in words is "seven hundred twenty-five million, nine hundred ninety-one thousand, one hundred twenty".