724552920 has 384 divisors, whose sum is σ = 3071053440. Its totient is φ = 143769600.

The previous prime is 724552883. The next prime is 724552921. The reversal of 724552920 is 29255427.

It is a happy number.

724552920 is a `hidden beast` number, since 72 + 45 + 529 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (724552921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 556270 + ... + 557570.

It is an arithmetic number, because the mean of its divisors is an integer number (7997535).

Almost surely, 2^724552920 is an apocalyptic number.

724552920 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 724552920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1535526720).

724552920 is an abundant number, since it is smaller than the sum of its proper divisors (2346500520).

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

724552920 is a wasteful number, since it uses less digits than its factorization.

724552920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1355 (or 1348 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 724552920 is about 26917.5206882060. The cubic root of 724552920 is about 898.1661919616.

The spelling of 724552920 in words is "seven hundred twenty-four million, five hundred fifty-two thousand, nine hundred twenty".