724920 has 64 divisors (see below), whose sum is σ = 2488320. Its totient is φ = 165504.

The previous prime is 724903. The next prime is 724939. The reversal of 724920 is 29427.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 724920.

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 15 ways as a sum of consecutive naturals, for example, 409 + ... + 1271.

It is an arithmetic number, because the mean of its divisors is an integer number (38880).

2⁷²⁴⁹²⁰ is an apocalyptic number.

724920 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 724920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1244160).

724920 is an abundant number, since it is smaller than the sum of its proper divisors (1763400).

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

724920 is a wasteful number, since it uses less digits than its factorization.

724920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 724920 is about 851.4223393828. The cubic root of 724920 is about 89.8317845565.

The spelling of 724920 in words is "seven hundred twenty-four thousand, nine hundred twenty".