721717248 has 192 divisors, whose sum is σ = 2234494080. Its totient is φ = 202899456.

The previous prime is 721717237. The next prime is 721717259. The reversal of 721717248 is 842717127.

It is an interprime number because it is at equal distance from previous prime (721717237) and next prime (721717259).

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4171690 + ... + 4171862.

It is an arithmetic number, because the mean of its divisors is an integer number (11637990).

Almost surely, 2^721717248 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 721717248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1117247040).

721717248 is an abundant number, since it is smaller than the sum of its proper divisors (1512776832).

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

721717248 is a wasteful number, since it uses less digits than its factorization.

721717248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 282 counting only the distinct ones).

The product of its digits is 43904, while the sum is 39.

The square root of 721717248 is about 26864.7956999490. The cubic root of 721717248 is about 896.9929468293.

The spelling of 721717248 in words is "seven hundred twenty-one million, seven hundred seventeen thousand, two hundred forty-eight".