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725760 = 283457

725760 has 180 divisors, whose sum is σ = 2967888. Its totient is φ = 165888.

The previous prime is 725749. The next prime is 725789. The reversal of 725760 is 67527.

It is a Jordan-Polya number, since it can be written as 9! ⋅ 2!.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 725760.

It is an unprimeable number.

725760 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 103677 + ... + 103683.

725760 is a Friedman number, since it can be written as 5670*2^7, using all its digits and the basic arithmetic operations.

2725760 is an apocalyptic number.

725760 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 725760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1483944).

725760 is an abundant number, since it is smaller than the sum of its proper divisors (2242128).

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

725760 is an equidigital number, since it uses as much as digits as its factorization.

725760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 725760 is about 851.9154887663. The cubic root of 725760 is about 89.8664686466.

It can be divided in two parts, 725 and 760, that added together give a triangular number (1485 = T54).

The spelling of 725760 in words is "seven hundred twenty-five thousand, seven hundred sixty".