724057152 has 224 divisors, whose sum is σ = 2440838400. Its totient is φ = 184246272.

The previous prime is 724057127. The next prime is 724057163. The reversal of 724057152 is 251750427.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×724057152² = 1048517518724702208, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 505974 + ... + 507402.

It is an arithmetic number, because the mean of its divisors is an integer number (10896600).

Almost surely, 2^724057152 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 724057152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1220419200).

724057152 is an abundant number, since it is smaller than the sum of its proper divisors (1716781248).

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

724057152 is a wasteful number, since it uses less digits than its factorization.

724057152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1493 (or 1483 counting only the distinct ones).

The product of its (nonzero) digits is 19600, while the sum is 33.

The square root of 724057152 is about 26908.3100918657. The cubic root of 724057152 is about 897.9612915129.

The spelling of 724057152 in words is "seven hundred twenty-four million, fifty-seven thousand, one hundred fifty-two".