724162560 has 192 divisors, whose sum is σ = 2528547840. Its totient is φ = 175472640.

The previous prime is 724162531. The next prime is 724162577. The reversal of 724162560 is 65261427.

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

It is a super-2 number, since 2×724162560² = 1048822826611507200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 336849 + ... + 338991.

It is an arithmetic number, because the mean of its divisors is an integer number (13169520).

Almost surely, 2^724162560 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 724162560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1264273920).

724162560 is an abundant number, since it is smaller than the sum of its proper divisors (1804385280).

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

724162560 is a wasteful number, since it uses less digits than its factorization.

724162560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2184 (or 2164 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 724162560 is about 26910.2686720144. The cubic root of 724162560 is about 898.0048643675.

The spelling of 724162560 in words is "seven hundred twenty-four million, one hundred sixty-two thousand, five hundred sixty".