724560 has 40 divisors (see below), whose sum is σ = 2246880. Its totient is φ = 193152.

The previous prime is 724553. The next prime is 724567. The reversal of 724560 is 65427.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (724553) and next prime (724567).

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 724560.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (724567) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1270 + ... + 1749.

It is an arithmetic number, because the mean of its divisors is an integer number (56172).

2⁷²⁴⁵⁶⁰ is an apocalyptic number.

It is an amenable number.

724560 is an abundant number, since it is smaller than the sum of its proper divisors (1522320).

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

724560 is a wasteful number, since it uses less digits than its factorization.

724560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3035 (or 3029 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 724560 is about 851.2109021858. The cubic root of 724560 is about 89.8169117442.

Adding to 724560 its reverse (65427), we get a palindrome (789987).

The spelling of 724560 in words is "seven hundred twenty-four thousand, five hundred sixty".