721117152 has 288 divisors, whose sum is σ = 2534680512. Its totient is φ = 189775872.

The previous prime is 721117151. The next prime is 721117207. The reversal of 721117152 is 251711127.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×721117152² = 1040019893817182208, which contains 22 as substring.

Its product of digits (980) is a multiple of the sum of its prime factors (490).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (721117151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1816218 + ... + 1816614.

It is an arithmetic number, because the mean of its divisors is an integer number (8800974).

Almost surely, 2^721117152 is an apocalyptic number.

721117152 is a gapful number since it is divisible by the number (72) 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 721117152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1267340256).

721117152 is an abundant number, since it is smaller than the sum of its proper divisors (1813563360).

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

721117152 is a wasteful number, since it uses less digits than its factorization.

721117152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 479 counting only the distinct ones).

The product of its digits is 980, while the sum is 27.

The square root of 721117152 is about 26853.6245598243. The cubic root of 721117152 is about 896.7442662734.

Adding to 721117152 its reverse (251711127), we get a palindrome (972828279).

The spelling of 721117152 in words is "seven hundred twenty-one million, one hundred seventeen thousand, one hundred fifty-two".