722719872 has 384 divisors, whose sum is σ = 2577744000. Its totient is φ = 189775872.

The previous prime is 722719831. The next prime is 722719901. The reversal of 722719872 is 278917227.

It is a tau number, because it is divible by the number of its divisors (384).

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

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, 8120404 + ... + 8120492.

It is an arithmetic number, because the mean of its divisors is an integer number (6712875).

Almost surely, 2^722719872 is an apocalyptic number.

722719872 is a gapful number since it is divisible by the number (72) 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 722719872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1288872000).

722719872 is an abundant number, since it is smaller than the sum of its proper divisors (1855024128).

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

722719872 is a wasteful number, since it uses less digits than its factorization.

722719872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 173 counting only the distinct ones).

The product of its digits is 197568, while the sum is 45.

The square root of 722719872 is about 26883.4497786277. The cubic root of 722719872 is about 897.4081281285.

The spelling of 722719872 in words is "seven hundred twenty-two million, seven hundred nineteen thousand, eight hundred seventy-two".