722349600 has 576 divisors, whose sum is σ = 2959810560. Its totient is φ = 149299200.

The previous prime is 722349587. The next prime is 722349611. The reversal of 722349600 is 6943227.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9895164 + ... + 9895236.

It is an arithmetic number, because the mean of its divisors is an integer number (5138560).

Almost surely, 2^722349600 is an apocalyptic number.

722349600 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 722349600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1479905280).

722349600 is an abundant number, since it is smaller than the sum of its proper divisors (2237460960).

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

722349600 is a wasteful number, since it uses less digits than its factorization.

722349600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 722349600 is about 26876.5622801727. The cubic root of 722349600 is about 897.2548451954.

The spelling of 722349600 in words is "seven hundred twenty-two million, three hundred forty-nine thousand, six hundred".