724601920 has 112 divisors (see below), whose sum is σ = 2004657408. Its totient is φ = 244316160.

The previous prime is 724601893. The next prime is 724601947. The reversal of 724601920 is 29106427.

It is an interprime number because it is at equal distance from previous prime (724601893) and next prime (724601947).

It is a tau number, because it is divible by the number of its divisors (112).

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, 133989 + ... + 139291.

Almost surely, 2^724601920 is an apocalyptic number.

724601920 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 724601920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1002328704).

724601920 is an abundant number, since it is smaller than the sum of its proper divisors (1280055488).

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

724601920 is a wasteful number, since it uses less digits than its factorization.

724601920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5388 (or 5378 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 724601920 is about 26918.4308606575. The cubic root of 724601920 is about 898.1864385394.

The spelling of 724601920 in words is "seven hundred twenty-four million, six hundred one thousand, nine hundred twenty".