724164672 has 336 divisors, whose sum is σ = 2479869056. Its totient is φ = 182476800.

The previous prime is 724164667. The next prime is 724164709. The reversal of 724164672 is 276461427.

It is a tau number, because it is divible by the number of its divisors (336).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 724164672.

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 47 ways as a sum of consecutive naturals, for example, 9920028 + ... + 9920100.

Almost surely, 2^724164672 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 724164672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1239934528).

724164672 is an abundant number, since it is smaller than the sum of its proper divisors (1755704384).

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

724164672 is a wasteful number, since it uses less digits than its factorization.

724164672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 157 counting only the distinct ones).

The product of its digits is 112896, while the sum is 39.

The square root of 724164672 is about 26910.3079135115. The cubic root of 724164672 is about 898.0057373687.

The spelling of 724164672 in words is "seven hundred twenty-four million, one hundred sixty-four thousand, six hundred seventy-two".