721089600 has 336 divisors, whose sum is σ = 2951049216. Its totient is φ = 149760000.

The previous prime is 721089587. The next prime is 721089613. The reversal of 721089600 is 6980127.

721089600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (721089587) and next prime (721089613).

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×721089600² = 1039940422456320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 368625 + ... + 370575.

Almost surely, 2^721089600 is an apocalyptic number.

721089600 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 721089600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1475524608).

721089600 is an abundant number, since it is smaller than the sum of its proper divisors (2229959616).

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

721089600 is a wasteful number, since it uses less digits than its factorization.

721089600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1994 (or 1979 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 721089600 is about 26853.1115515502. Note that the first 3 decimals coincide. The cubic root of 721089600 is about 896.7328453771.

The spelling of 721089600 in words is "seven hundred twenty-one million, eighty-nine thousand, six hundred".