722464000 has 144 divisors (see below), whose sum is σ = 1825177536. Its totient is φ = 284928000.

The previous prime is 722463983. The next prime is 722464003. The reversal of 722464000 is 464227.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (722464003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3423895 + ... + 3424105.

It is an arithmetic number, because the mean of its divisors is an integer number (12674844).

Almost surely, 2^722464000 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 722464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (912588768).

722464000 is an abundant number, since it is smaller than the sum of its proper divisors (1102713536).

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

722464000 is a wasteful number, since it uses less digits than its factorization.

722464000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 25.

The square root of 722464000 is about 26878.6904442906. The cubic root of 722464000 is about 897.3022093969.

The spelling of 722464000 in words is "seven hundred twenty-two million, four hundred sixty-four thousand".