722647296 has 324 divisors, whose sum is σ = 2503640412. Its totient is φ = 199729152.

The previous prime is 722647283. The next prime is 722647307. The reversal of 722647296 is 692746227.

722647296 is a `hidden beast` number, since 72 + 26 + 472 + 96 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 652087296 + 70560000 = 25536^2 + 8400^2 .

It is a super-2 number, since 2×722647296² = 1044438228832223232, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4177066 + ... + 4177238.

Almost surely, 2^722647296 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 722647296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1251820206).

722647296 is an abundant number, since it is smaller than the sum of its proper divisors (1780993116).

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

722647296 is a wasteful number, since it uses less digits than its factorization.

722647296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 222 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The square root of 722647296 is about 26882.0999179752. The cubic root of 722647296 is about 897.3780876868.

The spelling of 722647296 in words is "seven hundred twenty-two million, six hundred forty-seven thousand, two hundred ninety-six".