720321952 has 192 divisors, whose sum is σ = 1790208000. Its totient is φ = 284497920.

The previous prime is 720321949. The next prime is 720321991. The reversal of 720321952 is 259123027.

It is a super-3 number, since 3×720321952³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9867388 + ... + 9867460.

It is an arithmetic number, because the mean of its divisors is an integer number (9324000).

Almost surely, 2^720321952 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 720321952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (895104000).

720321952 is an abundant number, since it is smaller than the sum of its proper divisors (1069886048).

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

720321952 is a wasteful number, since it uses less digits than its factorization.

720321952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 31.

The square root of 720321952 is about 26838.8142808135. The cubic root of 720321952 is about 896.4145217395.

Adding to 720321952 its reverse (259123027), we get a palindrome (979444979).

It can be divided in two parts, 72032 and 1952, that added together give a square (73984 = 272²).

The spelling of 720321952 in words is "seven hundred twenty million, three hundred twenty-one thousand, nine hundred fifty-two".