731689443072 has 432 divisors, whose sum is σ = 2543845973760. Its totient is φ = 197588533248.

The previous prime is 731689443013. The next prime is 731689443073. The reversal of 731689443072 is 270344986137.

731689443072 is a `hidden beast` number, since 73 + 1 + 68 + 9 + 443 + 0 + 72 = 666.

It is a super-2 number, since 2×731689443072² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (731689443073) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 143101188 + ... + 143106300.

Almost surely, 2^731689443072 is an apocalyptic number.

731689443072 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 731689443072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1271922986880).

731689443072 is an abundant number, since it is smaller than the sum of its proper divisors (1812156530688).

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

731689443072 is a wasteful number, since it uses less digits than its factorization.

731689443072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5628 (or 5611 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 731689443072 in words is "seven hundred thirty-one billion, six hundred eighty-nine million, four hundred forty-three thousand, seventy-two".