724971520 has 208 divisors, whose sum is σ = 2146697280. Its totient is φ = 228851712.

The previous prime is 724971503. The next prime is 724971589. The reversal of 724971520 is 25179427.

It is a tau number, because it is divible by the number of its divisors (208).

It is a super-2 number, since 2×724971520² = 1051167409622220800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 724971520.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1863486 + ... + 1863874.

It is an arithmetic number, because the mean of its divisors is an integer number (10320660).

Almost surely, 2^724971520 is an apocalyptic number.

724971520 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 724971520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1073348640).

724971520 is an abundant number, since it is smaller than the sum of its proper divisors (1421725760).

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

724971520 is a wasteful number, since it uses less digits than its factorization.

724971520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 37.

The square root of 724971520 is about 26925.2951701555. The cubic root of 724971520 is about 898.3391261838.

The spelling of 724971520 in words is "seven hundred twenty-four million, nine hundred seventy-one thousand, five hundred twenty".