724506552 has 320 divisors, whose sum is σ = 2581401600. Its totient is φ = 186701760.

The previous prime is 724506481. The next prime is 724506557. The reversal of 724506552 is 255605427.

It is a super-4 number, since 4×724506552⁴ (a number of 37 digits) contains 4444 as substring.

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 (724506557) 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 79 ways as a sum of consecutive naturals, for example, 5704713 + ... + 5704839.

It is an arithmetic number, because the mean of its divisors is an integer number (8066880).

Almost surely, 2^724506552 is an apocalyptic number.

724506552 is a gapful number since it is divisible by the number (72) 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 724506552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1290700800).

724506552 is an abundant number, since it is smaller than the sum of its proper divisors (1856895048).

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

724506552 is a wasteful number, since it uses less digits than its factorization.

724506552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The square root of 724506552 is about 26916.6593766760. The cubic root of 724506552 is about 898.1470320736.

The spelling of 724506552 in words is "seven hundred twenty-four million, five hundred six thousand, five hundred fifty-two".