721854000 has 480 divisors, whose sum is σ = 3059911296. Its totient is φ = 154828800.

The previous prime is 721853989. The next prime is 721854013. The reversal of 721854000 is 458127.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2141832 + ... + 2142168.

Almost surely, 2^721854000 is an apocalyptic number.

721854000 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 721854000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1529955648).

721854000 is an abundant number, since it is smaller than the sum of its proper divisors (2338057296).

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

721854000 is a wasteful number, since it uses less digits than its factorization.

721854000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 721854000 is about 26867.3407690452. The cubic root of 721854000 is about 897.0495977467.

The spelling of 721854000 in words is "seven hundred twenty-one million, eight hundred fifty-four thousand".