724705280 has 112 divisors (see below), whose sum is σ = 1874346264. Its totient is φ = 267386880.

The previous prime is 724705271. The next prime is 724705283. The reversal of 724705280 is 82507427.

It can be written as a sum of positive squares in 4 ways, for example, as 323424256 + 401281024 = 17984^2 + 20032^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 724705280.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (724705283) 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, 531800 + ... + 533160.

Almost surely, 2^724705280 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 724705280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (937173132).

724705280 is an abundant number, since it is smaller than the sum of its proper divisors (1149640984).

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

724705280 is a wasteful number, since it uses less digits than its factorization.

724705280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1405 (or 1381 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 35.

The square root of 724705280 is about 26920.3506663639. The cubic root of 724705280 is about 898.2291434297.

The spelling of 724705280 in words is "seven hundred twenty-four million, seven hundred five thousand, two hundred eighty".