724909920 has 480 divisors, whose sum is σ = 2896816608. Its totient is φ = 151732224.

The previous prime is 724909873. The next prime is 724909949. The reversal of 724909920 is 29909427.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×724909920² = 1050988784228812800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 19592142 + ... + 19592178.

Almost surely, 2^724909920 is an apocalyptic number.

724909920 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 724909920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1448408304).

724909920 is an abundant number, since it is smaller than the sum of its proper divisors (2171906688).

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

724909920 is a wasteful number, since it uses less digits than its factorization.

724909920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The square root of 724909920 is about 26924.1512401041. The cubic root of 724909920 is about 898.3136818474.

The spelling of 724909920 in words is "seven hundred twenty-four million, nine hundred nine thousand, nine hundred twenty".