722172672 has 432 divisors, whose sum is σ = 2499893760. Its totient is φ = 206032896.

The previous prime is 722172643. The next prime is 722172707. The reversal of 722172672 is 276271227.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (32928) is a multiple of the sum of its prime divisors (84).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 15365353 + ... + 15365399.

Almost surely, 2^722172672 is an apocalyptic number.

722172672 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 722172672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1249946880).

722172672 is an abundant number, since it is smaller than the sum of its proper divisors (1777721088).

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

722172672 is a wasteful number, since it uses less digits than its factorization.

722172672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 84 counting only the distinct ones).

The product of its digits is 32928, while the sum is 36.

The square root of 722172672 is about 26873.2705862163. The cubic root of 722172672 is about 897.1815831313.

The spelling of 722172672 in words is "seven hundred twenty-two million, one hundred seventy-two thousand, six hundred seventy-two".