724991520 has 384 divisors, whose sum is σ = 2715939072. Its totient is φ = 160563200.

The previous prime is 724991507. The next prime is 724991549. The reversal of 724991520 is 25199427.

724991520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×724991520² = 1051225408143820800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3680062 + ... + 3680258.

It is an arithmetic number, because the mean of its divisors is an integer number (7072758).

Almost surely, 2^724991520 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 724991520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1357969536).

724991520 is an abundant number, since it is smaller than the sum of its proper divisors (1990947552).

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

724991520 is a wasteful number, since it uses less digits than its factorization.

724991520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 724991520 is about 26925.6665655653. Note that the first 3 decimals coincide. The cubic root of 724991520 is about 898.3473870220.

The spelling of 724991520 in words is "seven hundred twenty-four million, nine hundred ninety-one thousand, five hundred twenty".